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Step * 1 of Lemma run-event-state-when_wf


1. M : Type ─→ Type
2. r : fulpRunType(P.M[P])
3. e : ℕ+ × Id
⊢ run-event-state-when(r;e) ∈ Process(P.M[P]) List
BY
{ (D -1
   THEN Unfold `run-event-state-when` 0
   THEN Reduce 0
   THEN (Assert λc.fst(c) = e2 ∈ component(P.M[P]) ─→ 𝔹 BY
               Auto)
   THEN Auto) }

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Latex:

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Latex:

1.  M  :  Type  {}\mrightarrow{}  Type
2.  r  :  fulpRunType(P.M[P])
3.  e  :  \mBbbN{}\msupplus{}  \mtimes{}  Id
\mvdash{}  run-event-state-when(r;e)  \mmember{}  Process(P.M[P])  List


By

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Latex:
(D  -1
  THEN  Unfold  `run-event-state-when`  0
  THEN  Reduce  0
  THEN  (Assert  \mlambda{}c.fst(c)  =  e2  \mmember{}  component(P.M[P])  {}\mrightarrow{}  \mBbbB{}  BY
                          Auto)
  THEN  Auto)

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