PROOF.p_octets_take_drop: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 345-350 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=345&end_line=350

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

def p_octets_take_drop(+n: Nat, +o: B.Octets) -> {B.Octets.append(B.Octets.take(n, o), B.Octets.drop(n, o)) == o : B.Octets}:
  match o:
    case B.Octets{+ws}:
      %F_app(B.w8s.take.fast(n, ws), B.w8s.drop(n, ws)) : {B.Octets{_} == B.Octets{ws} : B.Octets}
      %F_take(n, ws) : {B.Octets{List.append(&2, B.OctByte, _, B.w8s.drop(n, ws))} == B.Octets{ws} : B.Octets}
      Equal.cong(List<&2, B.OctByte>, B.Octets, l => B.Octets{l}, List.append(&2, B.OctByte, B.w8s.take(n, ws), B.w8s.drop(n, ws)), ws, w8s_take_drop(n, ws))

Uses (15):
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&name=F_app
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&name=F_take
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&name=w8s_take_drop
  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=Octets
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.drop
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=Octets.take
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=w8s.drop
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=w8s.take
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=w8s.take.fast