def levels_ok

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/argon2/top.bend:111

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as SC
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/lib/logic.bend as L
import bend-collections-laws-crypto@1.0.0.0/src/crypto/argon2/memory.bend as M

111def levels_ok(+n: Nat, +h: {Nat.is_le(M.levels(n), 23n) == True{} : Bool}) -> {Nat.is_le(n, SC.pow2(M.levels(n))) == True{} : Bool}:
112  +hr = N.le_lt_trans(M.levels(n), 23n, 32n, h, {==})
113  L.subst(Nat, z => {Nat.is_le(n, z) == True{} : Bool}, M.pw(M.levels(n)), SC.pow2(M.levels(n)), pw_eq(M.levels(n)), levels_go_ok(32n, n, 0n, Nat.is_le(n, 1n), {==}, hr))