PROOF.F_take: def of bend-osdev-bytes@0.1.1.1
Import: import bend-osdev-bytes@0.1.1.1/PROOF.bend as PROOF
Lines 292-297 of bend-osdev-bytes@0.1.1.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-bytes@0.1.1.1/PROOF.bend&start_line=292&end_line=297

import Base
import bend-osdev-bytes@0.1.1.1/bytes.bend as B

def F_take(+n: Nat, +ws: List<&2, B.OctByte>) -> {B.w8s.take(n, ws) == B.w8s.take.fast(n, ws) : List<&2, B.OctByte>}:
  Equal.sym(List<&2, B.OctByte>, B.w8s.take.fast(n, ws), B.w8s.take(n, ws),
    Equal.trans(List<&2, B.OctByte>, B.w8s.take.fast(n, ws), B.w8s.rev_onto(B.w8s.rev_onto(B.w8s.take(n, ws), Nil{}), Nil{}), B.w8s.take(n, ws),
      Equal.cong(List<&2, B.OctByte>, List<&2, B.OctByte>, l => B.w8s.rev_onto(l, Nil{}), B.w8s.take.go(n, ws, Nil{}), B.w8s.rev_onto(B.w8s.take(n, ws), Nil{}), g_take(n, ws, Nil{})),
      Equal.trans(List<&2, B.OctByte>, B.w8s.rev_onto(B.w8s.rev_onto(B.w8s.take(n, ws), Nil{}), Nil{}), List.append(&2, B.OctByte, B.w8s.take(n, ws), Nil{}), B.w8s.take(n, ws),
        r8_rr(B.w8s.take(n, ws), Nil{}, Nil{}), app_nil8(B.w8s.take(n, ws)))))

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.1/PROOF.bend&name=app_nil8
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.1/PROOF.bend&name=g_take
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.1/PROOF.bend&name=r8_rr
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.1/bytes.bend&name=OctByte
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.1/bytes.bend&name=w8s.rev_onto
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.1/bytes.bend&name=w8s.take
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.1/bytes.bend&name=w8s.take.fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.1/bytes.bend&name=w8s.take.go