def p20

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/curve25519/prime.bend:16

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/word.bend as WD
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/num.bend as M

16def p20(+one: Nat, +h1: {one == 1n : Nat}) -> {Nat.is_le(20n, WD.sc(255n, one)) == True{} : Bool}:
17  +a = L.subst(Nat, o => {Nat.is_le(20n, WD.sc(5n, o)) == True{} : Bool}, 1n, one, Equal.sym(Nat, one, 1n, h1), {==})
18  N.le_trans(20n, WD.sc(5n, one), WD.sc(255n, one), a, M.sc_mono(250n, 5n, one))