Nuprl Lemma : member-es-hist
∀[Info:Type]. ∀es:EO+(Info). ∀e1,e2:E. ∀t:Info. ((t ∈ es-hist(es;e1;e2)) ⇐⇒ ∃e∈[e1,e2].t = info(e) ∈ Info)
Proof
Definitions occuring in Statement :
es-hist: es-hist(es;e1;e2),
es-info: info(e),
event-ordering+: EO+(Info),
existse-between2: ∃e∈[e1,e2].P[e],
es-E: E,
l_member: (x ∈ l),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
universe: Type,
equal: s = t ∈ T
Lemmas :
exists_wf,
es-le_wf,
es-info_wf,
member_map,
es-interval_wf,
member-es-interval,
l_member_wf,
map_wf,
iff_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}e1,e2:E. \mforall{}t:Info. ((t \mmember{} es-hist(es;e1;e2)) \mLeftarrow{}{}\mRightarrow{} \mexists{}e\mmember{}[e1,e2].t = info(e))
Date html generated:
2015_07_17-PM-00_09_43
Last ObjectModification:
2015_01_28-AM-00_08_23
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