---

Step * of Lemma is-prior-all-events

∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e:E].  (e ∈b prior(E) ~ ¬bfirst(e))
BY
{ (Auto
   THEN RepUR ``in-eclass es-prior-interface can-apply es-all-events local-pred-class`` 0
   THEN RecUnfold `es-local-pred` 0
   THEN Reduce 0
   THEN AutoBoolCase ⌈first(e)⌉⋅
   THEN RepUR ``bfalse`` 0
   THEN Fold `bfalse` 0
   THEN Auto) }

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Latex:

---

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].    (e  \mmember{}\msubb{}  prior(E)  \msim{}  \mneg{}\msubb{}first(e))


By

---

Latex:
(Auto
  THEN  RepUR  ``in-eclass  es-prior-interface  can-apply  es-all-events  local-pred-class``  0
  THEN  RecUnfold  `es-local-pred`  0
  THEN  Reduce  0
  THEN  AutoBoolCase  \mkleeneopen{}first(e)\mkleeneclose{}\mcdot{}
  THEN  RepUR  ``bfalse``  0
  THEN  Fold  `bfalse`  0
  THEN  Auto)

---

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