BackwardPROOF.succ_add_ne: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/backward_PROOF.bend as BackwardPROOF
Lines 30-37 of bendtorch-core@0.1.0.0/src/autograd/backward_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/backward_PROOF.bend&start_line=30&end_line=37

import Base

def succ_add_ne(+left: Nat, +right: Nat) -> {False{} == Nat.is_eq(1n+Nat.add(left, right), right) : Bool}:
  match right:
    case 0n:
      {==}
    case 1n+rest:
      %Equal.sym(Nat, Nat.add(left, 1n+rest), 1n+Nat.add(left, rest), add_succ(left, rest)) :
        {False{} == Nat.is_eq(1n+_, 1n+rest) : Bool}
      succ_add_ne(left, rest)

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/backward_PROOF.bend&name=add_succ