def scal_v

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/curve25519/poly.bend:189

import Base
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/lib/word.bend as WD
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/num.bend as M
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend as LM

189def scal_v(+one: Nat, +h1: {one == 1n : Nat}, +x: U32, +y: U32, +a: Nat, +b: Nat, +hx: {Nat.is_le(v(x), a) == True{} : Bool}, +hy: {Nat.is_le(v(y), b) == True{} : Bool}, +hab: {Nat.is_lt(Nat.mul(a, b), WD.sc(32n, one)) == True{} : Bool}) -> {v(U32.mul(x, y)) == Nat.mul(v(x), v(y)) : Nat}:
190  LM.mul_v(one, h1, x, y, N.le_lt_trans(Nat.mul(v(x), v(y)), Nat.mul(a, b), WD.sc(32n, one), M.le_mul2(v(x), v(y), a, b, hx, hy), hab))