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Step * 2 of Lemma run-event-state_wf


1. ∀[M:Type ─→ Type]. ∀[r:fulpRunType(P.M[P])]. ∀[e:ℕ × Id].  (run-event-state(r;e) ∈ Process(P.M[P]) List)
⊢ ∀[M:Type ─→ Type]. ∀[r:fulpRunType(P.M[P])]. ∀[e:runEvents(r)].  (run-event-state(r;e) ∈ Process(P.M[P]) List)
BY
{ (BasicUniformUnivCD Auto THEN (Assert r ∈ pRunType(P.M[P]) BY (DoSubsume THEN Auto)) THEN Auto) }

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Latex:

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Latex:

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


By

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Latex:
(BasicUniformUnivCD  Auto  THEN  (Assert  r  \mmember{}  pRunType(P.M[P])  BY  (DoSubsume  THEN  Auto))  THEN  Auto)

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