PROOF.ccmp.len_join: 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 1790-1796 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=1790&end_line=1796

import Base
import bend-osdev-bytes@0.1.0.0/bytes.bend as B
import bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend as M
import bend-osdev-cipher-modes@0.1.0.0/ccm.bend as CC

def ccmp.len_join(~K: Data, ~enc: K -> M.CmBlock -> M.CmBlock, +k: K, bs: List<&2, M.CmBlock>, +a0: M.CmBlock, +i: U32, +x: List<&2, U32>, +y: List<&2, U32>, h: {B.len(x) == B.len(y) : Nat}) -> {B.len(M.cm.join_onto(CC.ccm.ctrb(~K, ~enc, k, bs, a0, i), x)) == B.len(M.cm.join_onto(bs, y)) : Nat}:
  match bs:
    case Nil{}:
      h
    case Con{+b, +rest}:
      %Equal.sym(Nat, B.len(M.cm.join_onto(CC.ccm.ctrb(~K, ~enc, k, rest, a0, U32.add(i, 1)), x)), B.len(M.cm.join_onto(rest, y)), ccmp.len_join(~K, ~enc, k, rest, a0, U32.add(i, 1), x, y, h)) : {Nat.add(16n, _) == Nat.add(16n, B.len(M.cm.join_onto(rest, y))) : Nat}
      {==}

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=Base/base.bend&name=U32.add
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=len
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.ctrb
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=CmBlock
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/cipher_modes.bend&name=cm.join_onto