PROOF.un.add_succ: def of bend-osdev-u32@0.1.0.0
Import: import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF
Lines 69-74 of bend-osdev-u32@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&start_line=69&end_line=74

import Base

def un.add_succ(x: Nat, -y: Nat) -> {Nat.add(x, 1n+y) == 1n+Nat.add(x, y) : Nat}:
  match x:
    case 0n:
      {==}
    case 1n+p:
      un.succ_cong(Nat.add(p, 1n+y), 1n+Nat.add(p, y), un.add_succ(p, y))

Uses (3):
  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
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/PROOF.bend&name=un.succ_cong