PROOF.nat_add_succ: def of bend-osdev-aead@0.1.0.0
Import: import bend-osdev-aead@0.1.0.0/PROOF.bend as PROOF
Lines 83-89 of bend-osdev-aead@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-aead@0.1.0.0/PROOF.bend&start_line=83&end_line=89

import Base

def nat_add_succ(x: Nat, +t: Nat) -> {1n+Nat.add(x, t) == Nat.add(x, 1n+t) : Nat}:
  match x:
    case 0n:
      {==}
    case 1n+p:
      %nat_add_succ(p, t) : {1n+1n+Nat.add(p, t) == 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