def addg_okb

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/ed25519/scalar.bend:173

import Base
import bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend as F
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend as LM
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/consts.bend as K

173def addg_okb(+one: Nat, +h1: {one == 1n : Nat}, +mm: Nat, +cp: List<&2, U32>, +hk: {LM.okb(32n, cp, 255n) == True{} : Bool}, +hv: {Nat.add(K.valo(one, cp), 1n+mm) == T(one) : Nat}, +a: List<&2, U32>, +b: List<&2, U32>, +ha: {LM.okb(32n, a, 255n) == True{} : Bool}, +hb: {LM.okb(32n, b, 255n) == True{} : Bool}) -> {LM.okb(32n, addg(a, b, cp), 255n) == True{} : Bool}:
174  +s = F.cr_limbs(F.carry(F.addl(a, b), 0))
175  cs_okb_by(one, h1, mm, s, cp, sum_okb(one, h1, a, b, ha, hb), hk, hv, Nat.is_lt(v(LM.cc(F.carry(F.addl(s, cp), 0))), one), {==})