Nuprl Lemma : es-le-before-partition2
∀[es:EO]. ∀[e,a:E]. (≤loc(e) = (≤loc(pred(a)) @ [a, e]) ∈ (E List)) supposing ((¬↑first(a)) and a ≤loc e )
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-le-before: ≤loc(e),
es-le: e ≤loc e' ,
es-first: first(e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
append: as @ bs,
list: T List,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
equal: s = t ∈ T
Lemmas :
es-le-before-partition,
list_wf,
es-E_wf,
append_wf,
es-le-before_wf2,
es-pred_wf,
subtype_rel_list,
es-le_wf,
es-interval_wf,
iff_weakening_equal,
es-le-before-pred,
not_wf,
assert_wf,
es-first_wf2,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[e,a:E]. (\mleq{}loc(e) = (\mleq{}loc(pred(a)) @ [a, e])) supposing ((\mneg{}\muparrow{}first(a)) and a \mleq{}loc e )
Date html generated:
2015_07_17-AM-08_42_58
Last ObjectModification:
2015_02_04-AM-07_08_44
Home
Index