List.spec_rev_rev: 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 198-204 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=198&end_line=204

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

def spec_rev_rev(-A: Data, +xs: List<&2, A>) -> {SC.reverse(A, SC.reverse(A, xs)) == xs : List<&2, A>}:
  match xs:
    case Nil{}:
      {==}
    case Con{+h, +t}:
      Equal.trans(List<&2, A>, SC.reverse(A, SC.snoc(A, SC.reverse(A, t), h)), Con{h, SC.reverse(A, SC.reverse(A, t))}, Con{h, t},
        rev_snoc(A, SC.reverse(A, t), h), cons_cong(A, h, SC.reverse(A, SC.reverse(A, t)), t, spec_rev_rev(A, t)))

Uses (6):
  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=cons_cong
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/list.bend&name=rev_snoc
  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