def pp_sum

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/consts.bend:109

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

109# (c + 1) + pp = 2^256
110def pp_sum(+one: Nat, +h1: {one == 1n : Nat}) -> {Nat.add(Nat.add(FS.cp(one), 1n), pp(one)) == C.shift(256n, one) : Nat}:
111  N.sub_add(C.shift(256n, one), Nat.add(FS.cp(one), 1n), cp1_le(one, h1))