ConstructionPROOF.add_successor: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/construction_PROOF.bend as ConstructionPROOF
Lines 527-532 of bendtorch-core@0.1.0.0/src/tensor/construction_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/construction_PROOF.bend&start_line=527&end_line=532

import Base

def add_successor(+left: Nat, +right: Nat) -> {Nat.add(left, 1n+right) == Nat.add(1n+left, right) : Nat}:
  match left:
    case 0n:
      {==}
    case 1n+p:
      Equal.cong(Nat, Nat, n => 1n+n, Nat.add(p, 1n+right), Nat.add(1n+p, right), add_successor(p, right))

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