Step
*
1
1
of Lemma
es-interface-predecessors-last
1. Info : Type
2. es : EO+(Info)
3. X : EClass(Top)
4. e : E(X)
5. ↑e ∈b prior(X)
⊢ ¬↑(null(≤(X)(prior(X)(e))) ∧b null([e]))
BY
{ (Reduce 0 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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