Nuprl Lemma : l_before-es-interval
∀es:EO. ∀e,e',a,b:E. (a before b ∈ [e, e'] ⇐⇒ (a <loc b) ∧ e ≤loc a ∧ b ≤loc e' )
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
es-E: E,
event_ordering: EO,
l_before: x before y ∈ l,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q
Lemmas :
es-le_wf,
or_wf,
es-locl_wf,
false_wf,
es-locl_transitivity1,
es-le_weakening,
singleton_before,
l_before_wf,
cons_wf,
nil_wf,
iff_wf,
member-es-before,
l_member_wf,
es-before_wf,
l_before-es-before-iff,
member_singleton,
l_before_append_iff,
append_wf,
assert-es-ble,
assert_wf,
es-ble_wf,
l_before_filter,
filter_wf5,
es-E_wf,
event_ordering_wf,
es-locl_transitivity2,
es-le_weakening_eq,
es-le-self,
and_wf,
equal_wf
\mforall{}es:EO. \mforall{}e,e',a,b:E. (a before b \mmember{} [e, e'] \mLeftarrow{}{}\mRightarrow{} (a <loc b) \mwedge{} e \mleq{}loc a \mwedge{} b \mleq{}loc e' )
Date html generated:
2015_07_17-AM-08_41_44
Last ObjectModification:
2015_01_27-PM-02_40_19
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