PROOF.li.len_append: def of bend-osdev-cipher-modes@0.1.0.0
Import: import bend-osdev-cipher-modes@0.1.0.0/PROOF.bend as PROOF
Lines 243-249 of bend-osdev-cipher-modes@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-cipher-modes@0.1.0.0/PROOF.bend&start_line=243&end_line=249

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B

def li.len_append(+a: List<&2, U32>, +b: List<&2, U32>) -> {B.len(B.append(a, b)) == Nat.add(B.len(a), B.len(b)) : Nat}:
  match a:
    case Nil{}:
      {==}
    case Con{+h, +t}:
      %li.len_append(t, b) : {1n+B.len(B.append(t, b)) == 1n+_ : Nat}
      {==}

Uses (6):
  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=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=append
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=len