Bytes.take_okb: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/bytes.bend as Bytes
Lines 62-71 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/bytes.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/bytes.bend&start_line=62&end_line=71

import Base
import bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend as F
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend as L
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend as LM

def take_okb(+n: Nat, +m: Nat, +xs: List<&2, U32>, +b: Nat, +e: {LM.okb(pl(n, m), xs, b) == True{} : Bool}) -> {LM.okb(n, F.take(n, xs), b) == True{} : Bool}:
  match n:
    case 0n:
      {==}
    case 1n+ +k:
      match xs:
        case Nil{}:
          e
        case Con{+x, +xt}:
          L.and_intro(Nat.is_le(v(x), b), LM.okb(k, F.take(k, xt), b), L.and_left(Nat.is_le(v(x), b), LM.okb(pl(k, m), xt, b), e), take_okb(k, m, xt, b, L.and_right(Nat.is_le(v(x), b), LM.okb(pl(k, m), xt, b), e)))

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Nat.is_le
  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/curve25519/limbs.bend&name=okb
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/bytes.bend&name=pl
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/ed25519/bytes.bend&name=v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=and_intro
  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/src/crypto/curve25519/field.bend&name=take