Bytes.bytes_lt: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/bytes.bend as Bytes
Lines 210-213 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/bytes.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/bytes.bend&start_line=210&end_line=213

import Base
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/crypto/random.bend as SCR

# THEOREM (Random.bytes_lt)
def bytes_lt(+n: Nat, +c: C8.ChaCha8, +p: List<&2, U32>, +hp: {SCR.below256(p) == True{} : Bool}) -> SCR.Random.bytes_lt(n, c, p, hp):
  %Equal.sym(List<&2, U32>, SCR.fst_bytes(CR.Gen, CR.bytes(CR.G{c, p}, n)), SCR.take(n, SCR.append(p, SCR.flat(outs(n, c)))), bytes(n, c, p)) : {SCR.below256(_) == True{} : Bool}
  below_take(n, SCR.append(p, SCR.flat(outs(n, c))), below_app(p, SCR.flat(outs(n, c)), hp, flat_below(outs(n, c))))

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=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=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/proofs/crypto/random/bytes.bend&name=below_app
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/bytes.bend&name=below_take
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/bytes.bend&name=bytes
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/bytes.bend&name=flat_below
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/random/bytes.bend&name=outs
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend&name=Random.bytes_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend&name=append
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend&name=below256
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend&name=flat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend&name=fst_bytes
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend&name=take
  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=bytes
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/random/chacha8.bend&name=ChaCha8