def below

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/ed25519/proof.bend:46

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/ed25519.bend as SE
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/crypto/ed25519/scalar3.bend as S3

46def below(+one: Nat, +h1: {one == 1n : Nat}, +x: Nat, +h: {Nat.is_lt(x, SE.ell(one)) == True{} : Bool}) -> {Nat.is_lt(x, 1n+S3.mmL(one)) == True{} : Bool}:
47  L.subst(Nat, z => {Nat.is_lt(x, z) == True{} : Bool}, SE.ell(one), 1n+S3.mmL(one), Equal.sym(Nat, 1n+S3.mmL(one), SE.ell(one), ell_m(one, h1)), h)