PROOF.off.take_app_add: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 840-845 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=840&end_line=845

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

def off.take_app_add(xs: List<&2, B.OctByte>, +n: Nat, +ys: List<&2, B.OctByte>) -> {B.w8s.take(Nat.add(List.length(&2, B.OctByte, xs), n), List.append(&2, B.OctByte, xs, ys)) == List.append(&2, B.OctByte, xs, B.w8s.take(n, ys)) : List<&2, B.OctByte>}:
  match xs:
    case Nil{}:
      {==}
    case Con{h, t}:
      Equal.cong(List<&2, B.OctByte>, List<&2, B.OctByte>, l => Con{h, l}, B.w8s.take(Nat.add(List.length(&2, B.OctByte, t), n), List.append(&2, B.OctByte, t, ys)), List.append(&2, B.OctByte, t, B.w8s.take(n, ys)), off.take_app_add(t, n, ys))

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  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