JSONListProof.append_assoc: def of qasim-bend-kit@0.1.0.2
Import: import qasim-bend-kit@0.1.0.2/proof/JSON_ListProof.bend as JSONListProof
Lines 9-17 of qasim-bend-kit@0.1.0.2/proof/JSON_ListProof.bend: https://jend.leeeet.dev/read.txt?path=qasim-bend-kit@0.1.0.2/proof/JSON_ListProof.bend&start_line=9&end_line=17

import Base

def append_assoc(-A: Data,
                 +xs: List<&2, A>,
                 +ys: List<&2, A>,
                 +zs: List<&2, A>) -> {List.append(&2, A, List.append(&2, A, xs, ys), zs) == List.append(&2, A, xs, List.append(&2, A, ys, zs)) : List<&2, A>}:
    match xs:
        case Nil{}: {==}
        case h <> t:
            Equal.cong(List<&2, A>, List<&2, A>, q => h <> q,
                List.append(&2, A, List.append(&2, A, t, ys), zs), List.append(&2, A, t, List.append(&2, A, ys, zs)), append_assoc(A, t, ys, zs))

Uses (3):
  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=Base/base.bend&name=List.append