List.append_nil: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/lib/list.bend as List
Lines 11-16 of bend-collections-laws-math@1.0.0.0/proofs/lib/list.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/list.bend&start_line=11&end_line=16

import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as SC

def append_nil(-A: Data, +xs: List<&2, A>) -> {SC.append(A, xs, Nil{}) == xs : List<&2, A>}:
  match xs:
    case Nil{}:
      {==}
    case Con{+h, +t}:
      cons_cong(A, h, SC.append(A, t, Nil{}), t, append_nil(A, t))

Uses (3):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/list.bend&name=cons_cong
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=append