Definition zero_or_one_outputs_per_step_trace {A B C} tr :=
    forall x, In x tr -> @zero_or_one_outputs_per_step A B C x.

Lemma inputs_1_m_revert : forall net tr, step_async_star (params := PB_multi_params) step_async_init net tr -> inputs_m tr = inputs_1 (revert_trace tr) ++ queue (nwState net Primary).