Section LogCorrect.
Context {orig_base_params : BaseParams}.
Context {orig_multi_params : MultiParams orig_base_params}.
Context {orig_failure_params : FailureParams orig_multi_params}.
Context {data_serializer : Serializer data}.
Context {name_serializer : Serializer name}.
Context {msg_serializer : Serializer msg}.
Context {input_serializer : Serializer input}.
Variable snapshot_interval : nat.
Instance log_base_params : BaseParams := @log_base_params orig_base_params.
Instance log_multi_params : DiskOpMultiParams log_base_params := log_multi_params snapshot_interval.
Instance log_failure_params : DiskOpFailureParams log_multi_params := log_failure_params snapshot_interval.

Lemma apply_log_app : forall h d entries e,
apply_log h d (entries ++ [e]) =
apply_entry h (apply_log h d entries) e.