def cn1_le

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/consts.bend:223

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/field.bend as FS
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/crypto/secp256k1/ineq.bend as I

223def cn1_le(+one: Nat, +h1: {one == 1n : Nat}) -> {Nat.is_le(Nat.add(FS.cn(one), 1n), C.shift(256n, one)) == True{} : Bool}:
224  +c = FS.cn(one)
225  I.lt_succ_le(c, C.shift(256n, one), N.le_lt_trans(c, Nat.add(c, c), C.shift(256n, one), N.le_add_right(c, c), cn_cc(one, h1)))