def q2

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/argon2/top.bend:127

import Base
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

127def q2(+q: Nat, +sl: Nat, +hq: {q == Nat.mul(4n, sl) : Nat}, +hsl: {Nat.is_le(2n, sl) == True{} : Bool}) -> {Nat.is_le(2n, q) == True{} : Bool}:
128  L.subst(Nat, z => {Nat.is_le(2n, z) == True{} : Bool}, Nat.mul(4n, sl), q, Equal.sym(Nat, q, Nat.mul(4n, sl), hq), N.le_trans(2n, sl, Nat.mul(4n, sl), hsl, N.le_add_right(sl, Nat.mul(3n, sl))))