PROOF.w8s_take_app: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 200-206 of bend-osdev-bytes@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&start_line=200&end_line=206

import Base
import bend-osdev-bytes@0.1.1.0/bytes.bend as B

def w8s_take_app(xs: List<&2, B.OctByte>, ys: List<&2, B.OctByte>) -> {B.w8s.take(List.length(&2, B.OctByte, xs), List.append(&2, B.OctByte, xs, ys)) == xs : List<&2, B.OctByte>}:
  match xs:
    case Nil{}:
      {==}
    case Con{h, t}:
      %w8s_take_app(t, ys) : {Con{h, B.w8s.take(List.length(&2, B.OctByte, t), List.append(&2, B.OctByte, t, ys))} == Con{h, _} : List<&2, B.OctByte>}
      {==}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=OctByte
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=w8s.take