Step * 1 1 of Lemma es-interface-predecessors-last


1. Info Type
2. es EO+(Info)
3. EClass(Top)
4. E(X)
5. ↑e ∈b prior(X)
⊢ ¬↑(null(≤(X)(prior(X)(e))) ∧b null([e]))
BY
(Reduce THEN AutoBoolCase ⌈null(≤(X)(prior(X)(e)))⌉⋅ THEN Auto) }


Latex:



Latex:

1.  Info  :  Type
2.  es  :  EO+(Info)
3.  X  :  EClass(Top)
4.  e  :  E(X)
5.  \muparrow{}e  \mmember{}\msubb{}  prior(X)
\mvdash{}  \mneg{}\muparrow{}(null(\mleq{}(X)(prior(X)(e)))  \mwedge{}\msubb{}  null([e]))


By


Latex:
(Reduce  0  THEN  AutoBoolCase  \mkleeneopen{}null(\mleq{}(X)(prior(X)(e)))\mkleeneclose{}\mcdot{}  THEN  Auto)




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