Instance raft_params : RaftParams VarD.vard_base_params :=
    raft_params n.Instance base_params : BaseParams :=
    transformed_base_params n.Instance multi_params : MultiParams _ :=
    transformed_multi_params n.Instance failure_params : FailureParams _ :=
    transformed_failure_params n.

Lemma correct_input_correct_filterMap_trace_non_empty_out : forall tr, input_correct tr -> input_correct (filterMap trace_non_empty_out tr).