Nuprl Lemma : member-es-le-before2
∀es:EO. ∀e:E. ∀e':{a:E| loc(a) = loc(e) ∈ Id} . ((e' ∈ ≤loc(e)) ⇐⇒ e' ≤loc e )
Proof
Definitions occuring in Statement :
es-le-before: ≤loc(e),
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
l_member: (x ∈ l),
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
set: {x:A| B[x]} ,
equal: s = t ∈ T
Lemmas :
member-es-le-before,
decidable__lt,
length_wf,
es-E_wf,
Id_wf,
es-loc_wf,
es-le-before_wf,
false_wf,
less-iff-le,
add_functionality_wrt_le,
add-swap,
add-commutes,
le-add-cancel,
less_than_wf,
select_wf,
sq_stable__le,
l_member_wf,
equal_wf,
es-le_wf,
set_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e:E. \mforall{}e':\{a:E| loc(a) = loc(e)\} . ((e' \mmember{} \mleq{}loc(e)) \mLeftarrow{}{}\mRightarrow{} e' \mleq{}loc e )
Date html generated:
2015_07_17-AM-08_40_45
Last ObjectModification:
2015_01_27-PM-02_40_10
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