PROOF.off.len_take: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 907-914 of bend-osdev-bytes@0.1.1.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-bytes@0.1.1.0/PROOF.bend&start_line=907&end_line=914

import Base
import bend-osdev-bytes@0.1.1.0/bytes.bend as B

def off.len_take(+n: Nat, ws: List<&2, B.OctByte>) -> {List.length(&2, B.OctByte, B.w8s.take(n, ws)) == Nat.min(n, List.length(&2, B.OctByte, ws)) : Nat}:
  match n ws:
    case 0n _:
      {==}
    case 1n+p Nil{}:
      {==}
    case 1n+p Con{x, t}:
      Equal.cong(Nat, Nat, k => 1n+k, List.length(&2, B.OctByte, B.w8s.take(p, t)), Nat.min(p, List.length(&2, B.OctByte, t)), off.len_take(p, t))

Uses (7):
  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=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.min
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=OctByte
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=w8s.take