def reduce3_l

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/reducek.bend:110

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C
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/proofs/crypto/secp256k1/limbs.bend as LV
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/fprot.bend as FR

110def reduce3_l(+one: Nat, +h1: {one == 1n : Nat}, +c: List<&2, Nat>, +hcc: {Nat.is_lt(Nat.add(LV.ev(c), LV.ev(c)), C.shift(256n, one)) == True{} : Bool}, +hb: {Nat.is_le(Nat.add(Nat.mul(1n+LV.ev(c), LV.ev(c)), LV.ev(c)), C.shift(256n, one)) == True{} : Bool}, +xs: List<&2, Nat>, +hx: {Nat.is_lt(LV.ev(xs), Nat.mul(C.shift(256n, one), C.shift(256n, one))) == True{} : Bool}) -> {FS.limbs16(one, 16n, L.reduce(c, 3n, xs)) == True{} : Bool}:
111  %Equal.sym(List<&2, Nat>, L.reduce(c, 3n, xs), L.reduce_go(c, 3n, xs), FR.lred(c, 3n, xs)) : {FS.limbs16(one, 16n, _) == True{} : Bool}
112  red_fin_l(one, h1, c, hcc, L.rounds(3n, c, L.carry(32n, xs, 0n)), r3_lo(one, h1, c, xs), red3_x3(one, h1, c, xs, hb, hx))