Memory.take_drop: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/memory.bend as Memory
Lines 31-38 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/memory.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/memory.bend&start_line=31&end_line=38

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

def take_drop(+xs: List<&2, U32>, +n: Nat) -> {SC.append(U32, SC.take(U32, xs, n), SC.drop(U32, xs, n)) == xs : List<&2, U32>}:
  match xs n:
    case Nil{} _:
      {==}
    case Con{h, t} 0n:
      {==}
    case Con{+h, +t} 1n+ +p:
      Equal.cong(List<&2, U32>, List<&2, U32>, z => Con{h, z}, SC.append(U32, SC.take(U32, t, p), SC.drop(U32, t, p)), t, take_drop(t, p))

Uses (7):
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  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=drop
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=take