WordConversion.le_trans: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend as WordConversion
Lines 121-137 of bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend&start_line=121&end_line=137

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

def le_trans(+left: Nat, +middle: Nat, +right: Nat,
  first: {Nat.is_le(left, middle) == True{} : Bool},
  second: {Nat.is_le(middle, right) == True{} : Bool}) ->
  {Nat.is_le(left, right) == True{} : Bool}:
  match left:
    case 0n:
      Arith.le_zero(right)
    case 1n+l:
      match middle:
        case 0n:
          Empty.absurd({Nat.is_le(1n+l, right) == True{} : Bool}, Arith.clash(first))
        case 1n+m:
          match right:
            case 0n:
              Empty.absurd({Nat.is_le(1n+l, 0n) == True{} : Bool}, Arith.clash(second))
            case 1n+r:
              le_trans(l, m, r, first, second)

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=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_le
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=clash
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=le_zero