PROOF.zeros_cons: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 315-320 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=315&end_line=320

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

def zeros_cons(+p: Nat, +acc: List<&2, B.OctByte>) -> {List.append(&2, B.OctByte, B.w8s.zeros(p), Con{B.oct.zero(), acc}) == Con{B.oct.zero(), List.append(&2, B.OctByte, B.w8s.zeros(p), acc)} : List<&2, B.OctByte>}:
  match p:
    case 0n:
      {==}
    case 1n+q:
      Equal.cong(List<&2, B.OctByte>, List<&2, B.OctByte>, l => Con{B.oct.zero(), l}, List.append(&2, B.OctByte, B.w8s.zeros(q), Con{B.oct.zero(), acc}), Con{B.oct.zero(), List.append(&2, B.OctByte, B.w8s.zeros(q), acc)}, zeros_cons(q, acc))

Uses (7):
  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/bytes.bend&name=OctByte
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=oct.zero
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=w8s.zeros