Nuprl Lemma : es-closed-open-interval-forward
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e1,e2,e:E]. ([e1;e2) = [e1;e2) ∈ (E List)) supposing (e ≤loc e1 and e1 ≤loc e2 )
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-closed-open-interval: [e;e'),
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 :
es-le_wf,
event-ordering+_subtype,
es-E_wf,
event-ordering+_wf,
eo-forward_wf,
member-eo-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
es-le_transitivity,
eo-forward-le2,
eo-forward-forward,
es-closed-open-interval-eq-before,
subtype_rel_list,
eo-forward-E-subtype,
iff_weakening_equal,
es-before_wf3,
es-locl_wf,
subtype_rel_set
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e1,e2,e:E].
([e1;e2) = [e1;e2)) supposing (e \mleq{}loc e1 and e1 \mleq{}loc e2 )
Date html generated:
2015_07_17-PM-00_06_24
Last ObjectModification:
2015_02_04-PM-05_38_40
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