law and_le_sub

bend-kit-lemmas@0.1.1.0 · lemmas.bend:709

import Base
import bend-mathlib@0.7.4.0/nat.bend as MNat

709law and_le_sub:
710  for c: Bool
711  for +a: Nat
712  for +b: Nat
713  for +l: Nat
714  for -s: Nat
715  for +hc: {Nat.is_le(a, l) == c : Bool}
716  for hs: MNat.le(a, l) -> {s == Nat.sub(l, a) : Nat}
717  {Bool.and(c, Nat.is_le(b, s)) == Nat.is_le(Nat.add(a, b), l) : Bool}