Nuprl Lemma : es-interval-partition
∀[es:EO]. ∀[e',e,a:E]. [e, e'] = ([e, pred(a)] @ [a, e']) ∈ (E List) supposing (e <loc a) ∧ a ≤loc e'
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
append: as @ bs,
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
equal: s = t ∈ T
Lemmas :
es-locl_wf,
es-le_wf,
es-E_wf,
event_ordering_wf,
all_wf,
list_wf,
es-interval_wf,
append_wf,
es-pred_wf,
es-locl-first,
assert_elim,
btrue_neq_bfalse,
assert_wf,
es-first_wf2,
es-interval-less,
es-locl_transitivity2,
equal_wf,
es-locl-wellfnd,
es-le-iff,
es-le-trans3,
es-pred-locl,
cons_wf,
nil_wf,
append_assoc,
squash_wf,
true_wf,
es-locl_transitivity1,
iff_weakening_equal,
not_wf,
and_wf,
es-interval-eq2
\mforall{}[es:EO]. \mforall{}[e',e,a:E]. [e, e'] = ([e, pred(a)] @ [a, e']) supposing (e <loc a) \mwedge{} a \mleq{}loc e'
Date html generated:
2015_07_17-AM-08_42_36
Last ObjectModification:
2015_02_04-AM-07_08_19
Home
Index