List.rev_snoc: 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 191-196 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=191&end_line=196

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

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

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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/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