List.rev_append: 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 206-213 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=206&end_line=213

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

def rev_append(-A: Data, +xs: List<&2, A>, +ys: List<&2, A>) -> {SC.reverse(A, SC.append(A, xs, ys)) == SC.append(A, SC.reverse(A, ys), SC.reverse(A, xs)) : List<&2, A>}:
  match xs:
    case Nil{}:
      Equal.sym(List<&2, A>, SC.append(A, SC.reverse(A, ys), Nil{}), SC.reverse(A, ys), append_nil(A, SC.reverse(A, ys)))
    case Con{+h, +t}:
      Equal.trans(List<&2, A>, SC.snoc(A, SC.reverse(A, SC.append(A, t, ys)), h), SC.snoc(A, SC.append(A, SC.reverse(A, ys), SC.reverse(A, t)), h), SC.append(A, SC.reverse(A, ys), SC.snoc(A, SC.reverse(A, t), h)),
        Equal.cong(List<&2, A>, List<&2, A>, zs => SC.snoc(A, zs, h), SC.reverse(A, SC.append(A, t, ys)), SC.append(A, SC.reverse(A, ys), SC.reverse(A, t)), rev_append(A, t, ys)),
        Equal.sym(List<&2, A>, SC.append(A, SC.reverse(A, ys), SC.snoc(A, SC.reverse(A, t), h)), SC.snoc(A, SC.append(A, SC.reverse(A, ys), SC.reverse(A, t)), h), append_snoc(A, SC.reverse(A, ys), SC.reverse(A, t), h)))

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=append_nil
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/list.bend&name=append_snoc
  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=reverse
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=snoc