List.snoc_append_cons: 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 184-189 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=184&end_line=189

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

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

Uses (4):
  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
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=snoc