def subg_okb

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/curve25519/fieldops.bend:150

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/lib/word.bend as WD
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/poly.bend as PL

150# sub with its 8p constant as a parameter
151def subg_okb(+one: Nat, +h1: {one == 1n : Nat}, +a: List<&2, U32>, +b: List<&2, U32>, +ks: List<&2, U32>, +ha: {LM.okb(32n, a, 255n) == True{} : Bool}, +hb: {LM.okb(32n, b, 255n) == True{} : Bool}, +hk: {LM.okb(32n, ks, 2040n) == True{} : Bool}, +hg: {gea(ks, 255n) == True{} : Bool}) -> {LM.okb(32n, F.subl(a, b, ks), WD.sc(28n, one)) == True{} : Bool}:
152  +e = subl_okb(one, h1, 32n, a, b, ks, 255n, 255n, 2040n, ha, hb, hk, hg, lt32_small(one, h1, Nat.add(255n, 2040n), {==}))
153  PL.okb_mono(32n, F.subl(a, b, ks), Nat.add(255n, 2040n), WD.sc(28n, one), le_small(one, h1, Nat.add(255n, 2040n), {==}), e)