def pubpt_v

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/ppub.bend:29

import Base
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/spec/crypto/secp256k1/curve.bend as CV
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/point.bend as P
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/ecdsa.bend as E
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/point.bend as PT
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/pmul.bend as PM
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/paff.bend as PA

29# [d] G
30def pubpt_v(+one: Nat, +h1: {one == 1n : Nat}, +d: List<&2, Nat>, +hd: {FS.limbs16(one, 16n, d) == True{} : Bool}) -> {PT.pv(one, E.public_point(d)) == CV.pmul(FS.prime(one), FS.value(one, d), CV.g(one)) : CV.SPoint}:
31  %Equal.sym(CV.SPoint, PT.pv(one, P.mul(d, P.g())), CV.pmul(FS.prime(one), FS.value(one, d), PT.pv(one, P.g())), PM.mul_v(one, h1, d, P.g(), hd, PA.g_r(one, h1))) : {_ == CV.pmul(FS.prime(one), FS.value(one, d), CV.g(one)) : CV.SPoint}
32  %Equal.sym(CV.SPoint, PT.pv(one, P.g()), CV.g(one), PA.g_v(one, h1)) : {CV.pmul(FS.prime(one), FS.value(one, d), _) == CV.pmul(FS.prime(one), FS.value(one, d), CV.g(one)) : CV.SPoint}
33  {==}