PROOF.off.app_assoc: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 941-946 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=941&end_line=946

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

def off.app_assoc(xs: List<&2, B.OctByte>, +ys: List<&2, B.OctByte>, +zs: List<&2, B.OctByte>) -> {List.append(&2, B.OctByte, List.append(&2, B.OctByte, xs, ys), zs) == List.append(&2, B.OctByte, xs, List.append(&2, B.OctByte, ys, zs)) : 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}, List.append(&2, B.OctByte, List.append(&2, B.OctByte, t, ys), zs), List.append(&2, B.OctByte, t, List.append(&2, B.OctByte, ys, zs)), off.app_assoc(t, ys, zs))

Uses (4):
  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=bend-osdev-bytes@0.1.1.0/bytes.bend&name=OctByte