Nuprl Lemma : existse-between2-true
∀es:EO. ∀e1:E. ∀e2:{e:E| loc(e) = loc(e1) ∈ Id} . (∃e∈[e1,e2].True ⇐⇒ e1 ≤loc e2 )
Proof
Definitions occuring in Statement :
existse-between2: ∃e∈[e1,e2].P[e],
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
true: True,
set: {x:A| B[x]} ,
equal: s = t ∈ T
Lemmas :
existse-between2_wf,
Id_wf,
es-loc_wf,
true_wf,
es-le_wf,
set_wf,
es-E_wf,
event_ordering_wf,
es-le-trans,
es-le-self
\mforall{}es:EO. \mforall{}e1:E. \mforall{}e2:\{e:E| loc(e) = loc(e1)\} . (\mexists{}e\mmember{}[e1,e2].True \mLeftarrow{}{}\mRightarrow{} e1 \mleq{}loc e2 )
Date html generated:
2015_07_17-AM-08_48_03
Last ObjectModification:
2015_01_27-PM-02_25_21
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