def cn_lt_p

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/rconst.bend:59

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/proofs/lib/nat.bend as N
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/consts.bend as K

59def cn_lt_p(+one: Nat, +h1: {one == 1n : Nat}) -> {Nat.is_lt(FS.cn(one), 1n+K.pp(one)) == True{} : Bool}:
60  N.lt_le_trans(FS.cn(one), C.shift(255n, one), 1n+K.pp(one), N.lt_le_trans(FS.cn(one), C.shift(129n, one), C.shift(255n, one), K.cn_lt(one, h1), K.shift_le_k(129n, 255n, one, 126n, {==})), p_ge(one, h1))