Nuprl Lemma : member-es-le-before
∀es:EO. ∀e,e':E. ((e' ∈ ≤loc(e)) ⇐⇒ e' ≤loc e )
Proof
Definitions occuring in Statement :
es-le-before: ≤loc(e),
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
l_member: (x ∈ l),
all: ∀x:A. B[x],
iff: P ⇐⇒ Q
Lemmas :
es-le_wf,
member_singleton,
es-E_wf,
or_wf,
es-locl_wf,
l_member_wf,
cons_wf,
nil_wf,
iff_wf,
equal_wf,
member-es-before,
es-before_wf,
member_append,
append_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e,e':E. ((e' \mmember{} \mleq{}loc(e)) \mLeftarrow{}{}\mRightarrow{} e' \mleq{}loc e )
Date html generated:
2015_07_17-AM-08_40_42
Last ObjectModification:
2015_01_27-PM-02_40_07
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