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Step * 1 1 1 1 of Lemma stdEO-event-history


1. [M] : Type ─→ Type
2. r : pRunType(P.M[P])@i
3. e1 : {e:runEvents(r)| True} @i
4. e2 : {e:runEvents(r)| True} @i
5. run-event-loc(e1) = run-event-loc(e2) ∈ Id@i
6. run-event-step(e1) < run-event-step(e2)@i
7. (run-event-step(e1) ∈ [0, run-event-step(e2)))
⊢ ↑is-run-event(r;run-event-step(e1);run-event-loc(e2))
BY
{ (Thin (-1)
   THEN RevHypSubst' (-2) 0⋅
   THEN RepeatFor 2 ((DVar`e1' THEN DVar`e2'))
   THEN Auto
   THEN RepUR ``run-event-step run-event-loc`` 0
   THEN Unhide
   THEN Auto) }

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Latex:

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Latex:

1.  [M]  :  Type  {}\mrightarrow{}  Type
2.  r  :  pRunType(P.M[P])@i
3.  e1  :  \{e:runEvents(r)|  True\}  @i
4.  e2  :  \{e:runEvents(r)|  True\}  @i
5.  run-event-loc(e1)  =  run-event-loc(e2)@i
6.  run-event-step(e1)  <  run-event-step(e2)@i
7.  (run-event-step(e1)  \mmember{}  [0,  run-event-step(e2)))
\mvdash{}  \muparrow{}is-run-event(r;run-event-step(e1);run-event-loc(e2))


By

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Latex:
(Thin  (-1)
  THEN  RevHypSubst'  (-2)  0\mcdot{}
  THEN  RepeatFor  2  ((DVar`e1'  THEN  DVar`e2'))
  THEN  Auto
  THEN  RepUR  ``run-event-step  run-event-loc``  0
  THEN  Unhide
  THEN  Auto)

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