def sub_r

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/fieldops.bend:156

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/src/crypto/secp256k1/limbs.bend as L
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/field.bend as F

156def sub_r(+one: Nat, +h1: {one == 1n : Nat}, +a: List<&2, Nat>, +b: List<&2, Nat>, +ha: {FS.reduced(one, FS.prime(one), a) == True{} : Bool}, +hb: {FS.reduced(one, FS.prime(one), b) == True{} : Bool}) -> {FS.reduced(one, FS.prime(one), F.sub(a, b)) == True{} : Bool}:
157  %Equal.sym(List<&2, Nat>, F.sub(a, b), F.reduce(L.add(a, L.neg_raw(F.c(), b))), sub_go(one, h1, a, b, ha)) : {FS.reduced(one, FS.prime(one), _) == True{} : Bool}
158  red_r(one, h1, L.add(a, L.neg_raw(F.c(), b)), sub_hx(one, h1, a, b, ha, hb))