def checkpoint_ctr2_stream

qasim-bend-kit@0.1.0.2 · proof/AES_NistCtrProof.bend:25

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_NistCtr2BlockProof.bend as B2
import qasim-bend-kit@0.1.0.2/proof/AES_NistCtr2ComposeProof.bend as P2

25def checkpoint_ctr2_stream(+remaining: Nat, +fuel: Nat, +next_counter: List<&2, U32>,
26    count: {remaining == 16n+fuel : Nat},
27    counter: {Core.gcm_inc32(B2.block()) == next_counter : List<&2, U32>}) ->
28    {Core.gcm_ctr_stream_exact.go(remaining, Key.words_60(), B2.block(), Nil{}) == List.append(&2, U32, B2.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), next_counter, Nil{})) : List<&2, U32>}:
29    Equal.trans(List<&2, U32>, Core.gcm_ctr_stream_exact.go(remaining, Key.words_60(), B2.block(), Nil{}), Core.aes_byte_at(B2.result(), 0n) <> Core.gcm_ctr_stream_exact.go(15n+fuel, Key.words_60(), Core.gcm_inc32(B2.block()), List.tail(&2, U32, B2.result())), List.append(&2, U32, B2.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), next_counter, Nil{})),
30        stream_step(remaining, 15n+fuel, Key.words_60(), B2.block(), B2.result(), count, P2.expanded_block_matches()),
31        Equal.trans(List<&2, U32>, Core.aes_byte_at(B2.result(), 0n) <> Core.gcm_ctr_stream_exact.go(15n+fuel, Key.words_60(), Core.gcm_inc32(B2.block()), List.tail(&2, U32, B2.result())), List.append(&2, U32, B2.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), Core.gcm_inc32(B2.block()), Nil{})), List.append(&2, U32, B2.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), next_counter, Nil{})), {==},
32            Equal.cong(List<&2, U32>, List<&2, U32>, next => List.append(&2, U32, B2.result(), Core.gcm_ctr_stream_exact.go(fuel, Key.words_60(), next, Nil{})),
33                Core.gcm_inc32(B2.block()), next_counter, counter)))