PROOF.app_nil: def of bend-osdev-bpf@0.1.0.0
Import: import bend-osdev-bpf@0.1.0.0/PROOF.bend as PROOF
Lines 507-512 of bend-osdev-bpf@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-bpf@0.1.0.0/PROOF.bend&start_line=507&end_line=512

import Base

def app_nil(-A: Data, +xs: List<&2, A>) -> {List.append(&2, A, xs, Nil{}) == xs : List<&2, A>}:
  match xs:
    case Nil{}:
      {==}
    case Con{h, t}:
      Equal.cong(List<&2, A>, List<&2, A>, l => Con{h, l}, List.append(&2, A, t, Nil{}), t, app_nil(A, t))

Uses (3):
  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