Nuprl Lemma : es-hist-one-one
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e1,e2,e3:E].
(e2 = e3 ∈ E) supposing ((es-hist(es;e1;e2) = es-hist(es;e1;e3) ∈ (Info List)) and e1 ≤loc e3 and e1 ≤loc e2 )
Proof
Definitions occuring in Statement :
es-hist: es-hist(es;e1;e2),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-E: E,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
equal_wf,
list_wf,
es-hist_wf,
es-le_wf,
event-ordering+_subtype,
es-E_wf,
event-ordering+_wf,
es-interval-length-one-one,
length_wf,
es-interval_wf,
length-map
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e1,e2,e3:E].
(e2 = e3) supposing ((es-hist(es;e1;e2) = es-hist(es;e1;e3)) and e1 \mleq{}loc e3 and e1 \mleq{}loc e2 )
Date html generated:
2015_07_17-PM-00_11_15
Last ObjectModification:
2015_01_28-AM-00_07_45
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