def checkpoint_ctr5_stream

qasim-bend-kit@0.1.0.2 · proof/AES_NistCtrProof.bend:55

import Base
import qasim-bend-kit@0.1.0.2/libs/AES256GCMCore.bend as Core
import qasim-bend-kit@0.1.0.2/proof/AES_NistKeyScheduleProof.bend as Key
import qasim-bend-kit@0.1.0.2/proof/AES_NistCtr5BlockProof.bend as B5
import qasim-bend-kit@0.1.0.2/proof/AES_NistCtr5ComposeProof.bend as P5

55def checkpoint_ctr5_stream(+remaining: Nat, +fuel: Nat, +next_counter: List<&2, U32>,
56    count: {remaining == 16n+fuel : Nat},
57    counter: {Core.gcm_inc32(B5.block()) == next_counter : List<&2, U32>}) ->
58    {Core.gcm_ctr_stream_exact.go(remaining, Key.words_60(), B5.block(), Nil{}) == List.append(&2, U32, B5.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), next_counter, Nil{})) : List<&2, U32>}:
59    Equal.trans(List<&2, U32>, Core.gcm_ctr_stream_exact.go(remaining, Key.words_60(), B5.block(), Nil{}), Core.aes_byte_at(B5.result(), 0n) <> Core.gcm_ctr_stream_exact.go(15n+fuel, Key.words_60(), Core.gcm_inc32(B5.block()), List.tail(&2, U32, B5.result())), List.append(&2, U32, B5.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), next_counter, Nil{})),
60        stream_step(remaining, 15n+fuel, Key.words_60(), B5.block(), B5.result(), count, P5.expanded_block_matches()),
61        Equal.trans(List<&2, U32>, Core.aes_byte_at(B5.result(), 0n) <> Core.gcm_ctr_stream_exact.go(15n+fuel, Key.words_60(), Core.gcm_inc32(B5.block()), List.tail(&2, U32, B5.result())), List.append(&2, U32, B5.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), Core.gcm_inc32(B5.block()), Nil{})), List.append(&2, U32, B5.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), next_counter, Nil{})), {==},
62            Equal.cong(List<&2, U32>, List<&2, U32>, next => List.append(&2, U32, B5.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), next, Nil{})),
63                Core.gcm_inc32(B5.block()), next_counter, counter)))