def to_p

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/prec.bend:96

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/proofs/crypto/secp256k1/consts.bend as K
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/ineq.bend as I

96def to_p(+one: Nat, +h1: {one == 1n : Nat}, +x: Nat, +h: {Nat.is_lt(x, 1n+K.pp(one)) == True{} : Bool}) -> {Nat.is_lt(x, FS.prime(one)) == True{} : Bool}:
97  I.lt_subst_r(x, 1n+K.pp(one), FS.prime(one), Equal.sym(Nat, FS.prime(one), 1n+K.pp(one), K.prime_eq(one, h1)), h)