Definition syncStep (isCoarse:bool) :
      forall {tid0 ms m},
        containsThread ms tid0 -> mem_compatible ms m ->
        thread_pool -> mem -> sync_event -> Prop:=
      @ext_step isCoarse.

Lemma syncstep_equal_run: forall b i tp m cnt cmpt tp' m' tr, @syncStep b i tp m cnt cmpt tp' m' tr -> forall j, (exists cntj q, @getThreadC _ _ _ j tp cntj = Krun q) <-> (exists cntj' q', @getThreadC _ _ _ j tp' cntj' = Krun q').