Nuprl Lemma : es-first-exists
∀es:EO. ∀e':E. ∃e:E. ((↑first(e)) ∧ e ≤loc e' )
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-first: first(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
and: P ∧ Q
Lemmas :
event_ordering_wf,
exists_wf,
es-E_wf,
assert_wf,
es-first_wf2,
es-le_wf,
all_wf,
es-locl_wf,
es-locl-wellfnd,
decidable__assert,
es-le-self,
es-pred_wf,
es-pred-locl,
es-locl_transitivity1,
es-le_weakening
\mforall{}es:EO. \mforall{}e':E. \mexists{}e:E. ((\muparrow{}first(e)) \mwedge{} e \mleq{}loc e' )
Date html generated:
2015_07_17-AM-08_45_41
Last ObjectModification:
2015_01_27-PM-02_27_56
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