List.base_append: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/lib/list.bend as List
Lines 136-142 of bend-collections-laws-crypto@1.0.0.0/proofs/lib/list.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/list.bend&start_line=136&end_line=142

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

# Base List.append agrees with the specification append.
def base_append(-A: Data, +xs: List<&2, A>, +ys: List<&2, A>) -> {List.append(&2, A, xs, ys) == SC.append(A, xs, ys) : List<&2, A>}:
  match xs:
    case Nil{}:
      {==}
    case Con{+h, +t}:
      cons_cong(A, h, List.append(&2, A, t, ys), SC.append(A, t, ys), base_append(A, t, ys))

Uses (4):
  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-collections-laws-crypto@1.0.0.0/proofs/lib/list.bend&name=cons_cong
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=append