def csub_lt

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/curve25519/canon.bend:78

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/curve25519/field.bend as FS
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/freeze.bend as FZ

78def csub_lt(+one: Nat, +h1: {one == 1n : Nat}, +pp: Nat, +hP: {Nat.add(1n+pp, 19n) == WD.sc(255n, one) : Nat}, +x: List<&2, U32>, +hx: {LM.okb(32n, x, 255n) == True{} : Bool}, +bB: Nat, +q: Nat, +hxB: {Nat.is_lt(FS.value(x), Nat.add(1n+pp, bB)) == True{} : Bool}, +hPQ: {Nat.is_le(1n+pp, q) == True{} : Bool}, +hBQ: {Nat.is_le(bB, q) == True{} : Bool}) -> {Nat.is_lt(FS.value(F.csub(x)), q) == True{} : Bool}:
79  by_lt(one, h1, pp, hP, x, F.comp_p(), hx, FZ.comp_p_okb(), FZ.comp_p_val(one, h1, pp, hP), bB, q, hxB, hPQ, hBQ, Nat.is_lt(cs_c(one, x, F.comp_p()), one), {==})