PROOF.tr.pad: 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 1186-1189 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=1186&end_line=1189

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

def tr.pad(+xs: List<&2, U32>) -> {CC.ccm.pad(xs) == CC.ccm.pad.fast(xs) : List<&2, U32>}:
  %BL.len_fast(xs) : {CC.ccm.pad(xs) == B.append.fast(xs, B.zeros(Nat.mod(Nat.sub(16n, Nat.mod(_, 16n)), 16n))) : List<&2, U32>}
  %BL.append_fast(xs, B.zeros(Nat.mod(Nat.sub(16n, Nat.mod(B.len(xs), 16n)), 16n))) : {CC.ccm.pad(xs) == _ : List<&2, U32>}
  {==}

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mod
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  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/LAWS.bend&name=append_fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/LAWS.bend&name=len_fast
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-bytes@0.1.1.0/bytes.bend&name=append.fast
  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-bytes@0.1.1.0/bytes.bend&name=zeros
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.pad
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-cipher-modes@0.1.0.0/ccm.bend&name=ccm.pad.fast