def shift_lt_k

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/secp256k1/consts.bend:79

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/proofs/lib/nat.bend as N

79def shift_lt_k(+one: Nat, +h1: {one == 1n : Nat}, +j: Nat, +k: Nat, +d: Nat, +hd: {Nat.add(d, 1n+j) == k : Nat}) -> {Nat.is_lt(C.shift(j, one), C.shift(k, one)) == True{} : Bool}:
80  N.lt_le_trans(C.shift(j, one), C.shift(1n+j, one), C.shift(k, one), shift_lt_succ(one, h1, j), shift_le_k(1n+j, k, one, d, hd))