def neg_vv

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/negate.bend:170

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/lib/logic.bend as Lg
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/limbs.bend as LV

170def neg_vv(+one: Nat, +h1: {one == 1n : Nat}, +mp: Nat, +c: List<&2, Nat>, +hm: {Nat.add(1n+mp, FS.value(one, c)) == C.shift(256n, one) : Nat}, +b: List<&2, Nat>, +hb: {Nat.is_lt(LV.ev(b), 1n+mp) == True{} : Bool}) -> {Nat.add(LV.ev(L.neg_raw(c, b)), LV.ev(b)) == 1n+mp : Nat}:
171  neg_v(one, h1, mp, c, Lg.subst(Nat, z => {Nat.add(1n+mp, z) == C.shift(256n, one) : Nat}, FS.value(one, c), LV.ev(c), LV.ev_value(one, h1, c), hm), b, hb)