def un.le_double
import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOFimport Base
219def un.le_double(x: Nat) -> {Nat.is_le(x, Nat.double(x)) == True{} : Bool}:
220 match x:
221 case 0n:
222 {==}
223 case 1n+ +p:
224 un.le_trans(p, Nat.double(p), 1n+Nat.double(p), un.le_double(p), un.le_succ_self(Nat.double(p)))