GradientPROOF.lt_step: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend as GradientPROOF
Lines 74-84 of bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&start_line=74&end_line=84

import Base
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith

def lt_step(+position: Nat, +cursor: Nat, different: {False{} == Nat.is_eq(cursor, position) : Bool}) ->
  {Nat.is_lt(position, cursor) == Nat.is_lt(position, 1n+cursor) : Bool}:
  match position cursor:
    case 0n 0n:
      Empty.absurd({Nat.is_lt(0n, 0n) == Nat.is_lt(0n, 1n) : Bool}, Arith.clash(different))
    case 0n 1n+bound:
      {==}
    case 1n+rest 0n:
      below_one_more(rest)
    case 1n+rest 1n+bound:
      lt_step(rest, bound, different)

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=below_one_more
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=clash