PROOF.w8s_len: def of bend-osdev-bytes@0.1.1.1
Import: import bend-osdev-bytes@0.1.1.1/PROOF.bend as PROOF
Lines 183-188 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=183&end_line=188

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

def w8s_len(ws: List<&2, B.OctByte>) -> {List.length(&2, B.OctByte, ws) == List.length(&2, U32, B.w8s.to_list(ws)) : Nat}:
  match ws:
    case Nil{}:
      {==}
    case Con{h, t}:
      Equal.cong(Nat, Nat, k => 1n+k, List.length(&2, B.OctByte, t), List.length(&2, U32, B.w8s.to_list(t)), w8s_len(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=U32
  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.to_list