def max_ge_l
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64rtools.bend as F64rtoolsimport Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend as N
161def max_ge_l(+a: Nat, +b: Nat) -> {Nat.is_le(a, Nat.max(a, b)) == True{} : Bool}:
162 match a b:
163 case 0n _:
164 N.zero_le(b)
165 case 1n+ +ap 0n:
166 N.le_refl(1n+ap)
167 case 1n+ +ap 1n+ +bp:
168 max_ge_l(ap, bp)