Bytes.below_app: 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 172-178 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=172&end_line=178

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/random.bend as SCR
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend as L

def below_app(+xs: List<&2, U32>, +ys: List<&2, U32>, +hx: {SCR.below256(xs) == True{} : Bool}, +hy: {SCR.below256(ys) == True{} : Bool}) -> {SCR.below256(SCR.append(xs, ys)) == True{} : Bool}:
  match xs:
    case Nil{}:
      hy
    case Con{+x, +rest}:
      %Equal.sym(Bool, U32.is_lt(x, 256), True{}, L.and_left(U32.is_lt(x, 256), SCR.below256(rest), hx)) : {Bool.and(_, SCR.below256(SCR.append(rest, ys))) == True{} : Bool}
      below_app(rest, ys, L.and_right(U32.is_lt(x, 256), SCR.below256(rest), hx), hy)

Uses (10):
  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=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=and_left
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=and_right
  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