TensorBackwardPROOF.add_succ: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend as TensorBackwardPROOF
Lines 32-37 of bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend&start_line=32&end_line=37

import Base

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