Nuprl Lemma : es-closed-open-interval-decomp-member
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e1,e2,e:E]. [e1;e2) = ([e1;e) @ [e;e2)) ∈ (E List) supposing (e ∈ [e1, e2])
Proof
Definitions occuring in Statement :
event-ordering+: EO+(Info),
es-closed-open-interval: [e;e'),
es-interval: [e, e'],
es-E: E,
l_member: (x ∈ l),
append: as @ bs,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
member-es-interval,
es-closed-open-interval-decomp-mem,
l_member_wf,
es-E_wf,
event-ordering+_subtype,
es-interval_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e1,e2,e:E]. [e1;e2) = ([e1;e) @ [e;e2)) supposing (e \mmember{} [e1, e2])
Date html generated:
2015_07_17-PM-00_06_37
Last ObjectModification:
2015_01_28-AM-00_12_04
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