def add_zero
import bend-osdev-bpf@0.1.0.0/PROOF.bend as PROOFimport Base
199def add_zero(+a: Nat) -> {Nat.add(a, 0n) == a : Nat}:
200 match a:
201 case 0n:
202 {==}
203 case 1n+p:
204 Equal.cong(Nat, Nat, k => 1n+k, Nat.add(p, 0n), p, add_zero(p))