PROOF.nat.add_succ: def of bend-osdev-algo@0.1.0.0
Import: import bend-osdev-algo@0.1.0.0/PROOF.bend as PROOF
Lines 115-121 of bend-osdev-algo@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-algo@0.1.0.0/PROOF.bend&start_line=115&end_line=121

import Base

def nat.add_succ(a: Nat, -b: Nat) -> {Nat.add(a, 1n+b) == 1n+Nat.add(a, b) : Nat}:
  match a:
    case 0n:
      {==}
    case 1n+p:
      %Equal.sym(Nat, Nat.add(p, 1n+b), 1n+Nat.add(p, b), nat.add_succ(p, b)) : {1n+_ == 2n+Nat.add(p, b) : Nat}
      {==}

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