Seed.seeded: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/random/chacha8/seed.bend as Seed
Lines 163-166 of bend-collections-laws-math@1.0.0.0/proofs/math/random/chacha8/seed.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/chacha8/seed.bend&start_line=163&end_line=166

import Base
import bend-collections-laws-math@1.0.0.0/src/math/u64.bend as W
import bend-collections-laws-math@1.0.0.0/src/math/random/chacha8.bend as C8
import bend-collections-laws-math@1.0.0.0/spec/math/random/chacha8rand.bend as S
import bend-collections-laws-math@1.0.0.0/spec/math/random.bend as SRM

# THEOREM (ChaCha8.seeded)
def seeded(+n: Nat, +seed: List<&2, U32>) -> SRM.ChaCha8.seeded(n, seed):
  %Equal.sym(Bool, C8.all_bytes(seed), S.bytes_ok(seed), bytes_eq(seed)) : {SRM.map_outputs(n, C8.seed_ok(seed, _)) == SRM.map_stream(n, S.key_if(seed, Bool.and(S.bytes_ok(seed), Nat.is_eq(S.length(seed), 32n)))) : Maybe<&2, List<&2, W.U64>>}
  seeded_c(n, seed, S.bytes_ok(seed))

Uses (19):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/chacha8/seed.bend&name=bytes_eq
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/chacha8/seed.bend&name=seeded_c
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/random/chacha8rand.bend&name=bytes_ok
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/random/chacha8rand.bend&name=key_if
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/random/chacha8rand.bend&name=length
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/random.bend&name=ChaCha8.seeded
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/random.bend&name=map_outputs
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/math/random.bend&name=map_stream
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/random/chacha8.bend&name=all_bytes
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/random/chacha8.bend&name=seed_ok
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/u64.bend&name=U64