Nuprl Lemma : es-open-interval-nil
∀[es:EO]. ∀[e,e':E]. (e, e') ~ [] supposing (↑first(e')) ∨ ((¬↑first(e')) ∧ pred(e') ≤loc e )
Proof
Definitions occuring in Statement :
es-open-interval: (e, e'),
es-le: e ≤loc e' ,
es-first: first(e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
nil: [],
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
or: P ∨ Q,
and: P ∧ Q,
sqequal: s ~ t
Lemmas :
filter_is_nil,
es-bless_wf,
es-before_wf,
l_all_iff,
l_member_wf,
not_wf,
assert_wf,
assert-es-bless,
or_wf,
es-first_wf2,
es-le_wf,
es-pred_wf,
es-E_wf,
event_ordering_wf,
member-es-before,
es-locl-first,
assert_elim,
btrue_neq_bfalse,
es-locl-iff,
es-locl_transitivity2,
es-le_weakening_eq,
es-locl_irreflexivity,
es-le_weakening
\mforall{}[es:EO]. \mforall{}[e,e':E]. (e, e') \msim{} [] supposing (\muparrow{}first(e')) \mvee{} ((\mneg{}\muparrow{}first(e')) \mwedge{} pred(e') \mleq{}loc e )
Date html generated:
2015_07_17-AM-08_41_40
Last ObjectModification:
2015_01_27-PM-02_39_07
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