BendMlLlama.take_below: law of bend-ml-llama@0.2.1.0
Import: import bend-ml-llama@0.2.1.0/main.bend as BendMlLlama
Lines 1317-1323 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=1317&end_line=1323

import Base

# PROOF: taking the first k candidates keeps a part of them.
law take_below:
  for +cs: List<&2, Cand>
  for +k: Nat
  for +n: Nat
  for +e: {True{} == below(cs, n) : Bool}
  {True{} == below(List.take(&2, Cand, cs, k), n) : Bool}

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.take
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-ml-llama@0.2.1.0/main.bend&name=Cand
  https://jend.leeeet.dev/definition.txt?path=bend-ml-llama@0.2.1.0/main.bend&name=and_l
  https://jend.leeeet.dev/definition.txt?path=bend-ml-llama@0.2.1.0/main.bend&name=and_r
  https://jend.leeeet.dev/definition.txt?path=bend-ml-llama@0.2.1.0/main.bend&name=below
  https://jend.leeeet.dev/definition.txt?path=bend-ml-tensor-array@0.1.19.0/main.bend&name=leb