PROOF.add_zero: def of bend-osdev-bpf@0.1.0.0
Import: import bend-osdev-bpf@0.1.0.0/PROOF.bend as PROOF
Lines 199-204 of bend-osdev-bpf@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-bpf@0.1.0.0/PROOF.bend&start_line=199&end_line=204

import Base

def add_zero(+a: Nat) -> {Nat.add(a, 0n) == a : Nat}:
  match a:
    case 0n:
      {==}
    case 1n+p:
      Equal.cong(Nat, Nat, k => 1n+k, Nat.add(p, 0n), p, add_zero(p))

Uses (3):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add