Proof.wrap_map: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/proof.bend as Proof
Lines 48-53 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/proof.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/proof.bend&start_line=48&end_line=53

import Base
import bend-collections-laws-crypto@1.0.0.0/src/math/u64.bend as W
import bend-collections-laws-crypto@1.0.0.0/src/math/random/chacha8.bend as C8
import bend-collections-laws-crypto@1.0.0.0/src/crypto/random.bend as CR
import bend-collections-laws-crypto@1.0.0.0/spec/math/random/source.bend as SRC
import bend-collections-laws-crypto@1.0.0.0/spec/math/random.bend as SRM
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend as SCR

def wrap_map(+n: Nat, m: Maybe<&2, C8.ChaCha8>) -> {SCR.map_outputs(n, CR.wrap(m)) == SRM.map_outputs(n, m) : Maybe<&2, List<&2, W.U64>>}:
  match m:
    case None{}:
      {==}
    case Some{+c}:
      Equal.cong(List<&2, W.U64>, Maybe<&2, List<&2, W.U64>>, l => Some{l}, SRC.outputs(~CR.Gen, ~CR.next, n, CR.G{c, []}), SRC.outputs(~C8.ChaCha8, ~C8.next, n, c), gen_outputs(n, c, []))

Uses (14):
  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=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/proof.bend&name=gen_outputs
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend&name=map_outputs
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/math/random/source.bend&name=outputs
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/math/random.bend&name=map_outputs
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/random.bend&name=Gen
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/random.bend&name=next
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/random.bend&name=wrap
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/random/chacha8.bend&name=ChaCha8
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/random/chacha8.bend&name=next
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/u64.bend&name=U64