def lx_r

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/pschn.bend:192

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/field.bend as F
import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1/schnorr.bend as SC
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/fwrap.bend as FW
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/penc.bend as PE

192def lx_r(+one: Nat, +h1: {one == 1n : Nat}, +x: List<&2, Nat>, +hl: {FS.limbs16(one, 16n, x) == True{} : Bool}) -> {PE.mpred(one, SC.lift_x(x)) == True{} : Bool}:
193  %Equal.sym(Bool, F.lt_p(x), Nat.is_lt(FS.value(one, x), FS.prime(one)), FW.lt_p_f(one, h1, x)) : {PE.mpred(one, SC.lift_if(x, _)) == True{} : Bool}
194  lxr(one, h1, x, hl, Nat.is_lt(FS.value(one, x), FS.prime(one)), {==})