BendMlLlama.leb_trans: def of bend-ml-llama@0.2.1.0
Import: import bend-ml-llama@0.2.1.0/main.bend as BendMlLlama
Lines 536-548 of bend-ml-llama@0.2.1.0/main.bend: https://jend.leeeet.dev/read.txt?path=bend-ml-llama@0.2.1.0/main.bend&start_line=536&end_line=548

import Base
import bend-ml-tensor-array@0.1.19.0/main.bend as TA

# a <= b  and  b <= c  ->  a <= c
def leb_trans(a: Nat, b: Nat, c: Nat, e1: {True{} == TA.leb(a, b) : Bool}, e2: {True{} == TA.leb(b, c) : Bool}) -> {True{} == TA.leb(a, c) : Bool}:
  match a b c:
    case 0n _ _:
      {==}
    case 1n+p 0n _:
      %e1 : TA.BD(_, Unit, {True{} == TA.leb(1n+p, c) : Bool})
      Unit{}
    case 1n+p 1n+q 0n:
      %e2 : TA.BD(_, Unit, {True{} == TA.leb(1n+p, 0n) : Bool})
      Unit{}
    case 1n+p 1n+q 1n+r:
      leb_trans(p, q, r, e1, e2)

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Unit
  https://jend.leeeet.dev/definition.txt?path=bend-ml-tensor-array@0.1.19.0/main.bend&name=BD
  https://jend.leeeet.dev/definition.txt?path=bend-ml-tensor-array@0.1.19.0/main.bend&name=leb