List.snoc_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 32-37 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=32&end_line=37

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

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

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