ReductionPROOF.add_zero: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend as ReductionPROOF
Lines 716-721 of bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/reduction_PROOF.bend&start_line=716&end_line=721

import Base

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