PROOF.g_len: def of bend-osdev-bytes@0.1.1.0
Import: import bend-osdev-bytes@0.1.1.0/PROOF.bend as PROOF
Lines 302-308 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=302&end_line=308

import Base
import bend-osdev-bytes@0.1.1.0/bytes.bend as B
import bend-osdev-u32@0.1.0.0/LAWS.bend as UL

def g_len(+ws: List<&2, B.OctByte>, +n: Nat) -> {B.w8s.len.go(ws, n) == Nat.add(List.length(&2, B.OctByte, ws), n) : Nat}:
  match ws:
    case Nil{}:
      {==}
    case Con{h, t}:
      Equal.trans(Nat, B.w8s.len.go(t, 1n+n), Nat.add(List.length(&2, B.OctByte, t), 1n+n), 1n+Nat.add(List.length(&2, B.OctByte, t), n),
        g_len(t, 1n+n), UL.nat_add_succ(List.length(&2, B.OctByte, t), n))

Uses (8):
  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.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.add
  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.len.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=nat_add_succ