def le_add_l

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/curve25519/cong.bend:108

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend as L
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend as NA

108def le_add_l(+a: Nat, +b: Nat) -> {Nat.is_le(b, Nat.add(a, b)) == True{} : Bool}:
109  L.subst(Nat, z => {Nat.is_le(b, z) == True{} : Bool}, Nat.add(b, a), Nat.add(a, b), NA.add_comm(b, a), N.le_add_right(b, a))