Nuprl Lemma : alle-between1-false
∀es:EO. ∀e1:E. ∀e2:{e:E| loc(e) = loc(e1) ∈ Id} . (∀e∈[e1,e2).False ⇐⇒ e2 ≤loc e1 )
Proof
Definitions occuring in Statement :
alle-between1: ∀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,
false: False,
set: {x:A| B[x]} ,
equal: s = t ∈ T
Lemmas :
alle-between1_wf,
Id_wf,
es-loc_wf,
false_wf,
es-locl_transitivity2,
es-locl_irreflexivity,
es-locl_wf,
es-le_wf,
set_wf,
es-E_wf,
event_ordering_wf,
es-le-not-locl,
es-le-self
\mforall{}es:EO. \mforall{}e1:E. \mforall{}e2:\{e:E| loc(e) = loc(e1)\} . (\mforall{}e\mmember{}[e1,e2).False \mLeftarrow{}{}\mRightarrow{} e2 \mleq{}loc e1 )
Date html generated:
2015_07_17-AM-08_47_10
Last ObjectModification:
2015_01_27-PM-02_26_16
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