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Def x somewhere delivered before y == k:||tr||. x delivered at time k & (k':||tr||. y delivered at time k' loc(E)(tr[k']) = loc(E)(tr[k]) kk')

is mentioned by

Thm* E:EventStruct, a,b,c:|E|, tr:|E| List. a somewhere delivered before b a somewhere delivered before c c somewhere delivered before b[delivered_before_somewhere_lemma]
Thm* E:EventStruct, a,b:|E|, tr:|E| List. a somewhere delivered before b (k:||tr||. a delivered at time k (k':||tr||. k' < k & b delivered at time k' & loc(E)(tr[k']) = loc(E)(tr[k])))[not_delivered_before_somewhere]
Thm* E:EventStruct, tr:|E| List, x,y:|E|. Dec(x somewhere delivered before y)[decidable__delivered_before_somewhere]
Def switchR(tr)(i,j) == (is-send(E)(tr[i])) & (is-send(E)(tr[j])) & i < j & tr[j] somewhere delivered before tr[i] j < i & tr[i] somewhere delivered before tr[j][switch_inv_rel]

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mb hybrid Sections GenAutomata Doc