ReduceParallelProof.add_zero: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_parallel_proof.bend as ReduceParallelProof
Lines 348-353 of bendtorch-core@0.1.0.0/src/autograd/reduce_parallel_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_parallel_proof.bend&start_line=348&end_line=353

import Base

def add_zero(+number: Nat) -> {number == Nat.add(number, 0n) : Nat}:
  match number:
    case 0n:
      {==}
    case 1n+p:
      Equal.cong(Nat, Nat, value => 1n+value, p, Nat.add(p, 0n), add_zero(p))

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