PROOF.add_succ: def of bend-osdev-acpi@0.1.1.0
Import: import bend-osdev-acpi@0.1.1.0/PROOF.bend as PROOF
Lines 2514-2520 of bend-osdev-acpi@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-acpi@0.1.1.0/PROOF.bend&start_line=2514&end_line=2520

import Base

def add_succ(+a: Nat, +b: Nat) -> {1n+Nat.add(a, b) == Nat.add(a, 1n+b) : Nat}:
  match a:
    case 0n:
      {==}
    case 1n+p:
      %add_succ(p, b) : {1n+1n+Nat.add(p, b) == 1n+_ : Nat}
      {==}

Uses (2):
  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