Stream.stream: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/stream.bend as Stream
Lines 82-85 of bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/stream.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/stream.bend&start_line=82&end_line=85

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/block.bend as B
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/spec/math/random/chacha8rand.bend as S
import bend-collections-laws-crypto@1.0.0.0/spec/math/random/source.bend as SRC

# THEOREM: the generator keyed by k outputs C2SP's ChaCha8Rand stream keyed
# by k's eight words, for every key and every number of outputs
def stream(+n: Nat, +k: B.Key) -> {SRC.outputs(~C8.ChaCha8, ~C8.next, n, C8.of_key(k)) == S.stream(n, S.key_list(k)) : List<&2, W.U64>}:
  inv(n, k, [], C8.G0{})

Uses (12):
  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=bend-collections-laws-crypto@1.0.0.0/proofs/math/random/chacha8/stream.bend&name=inv
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/math/random/chacha8rand.bend&name=key_list
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/math/random/chacha8rand.bend&name=stream
  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/src/math/random/chacha8/block.bend&name=Key
  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=Phase
  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/random/chacha8.bend&name=of_key
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/u64.bend&name=U64