Bytes.take_eq: 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 25-34 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=25&end_line=34

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/ed25519.bend as SE
import bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend as F

def take_eq(+n: Nat, +xs: List<&2, U32>) -> {F.take(n, xs) == SE.first(n, xs) : List<&2, U32>}:
  match n:
    case 0n:
      {==}
    case 1n+ +m:
      match xs:
        case Nil{}:
          {==}
        case Con{+x, +xt}:
          Equal.cong(List<&2, U32>, List<&2, U32>, z => Con{x, z}, F.take(m, xt), SE.first(m, xt), take_eq(m, xt))

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  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/spec/crypto/ed25519.bend&name=first
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend&name=take