Nuprl Lemma : es-le-iff-causle
∀es:EO. ∀e,e':E. (e ≤loc e' ⇐⇒ e c≤ e' ∧ (loc(e) = loc(e') ∈ Id))
Proof
Definitions occuring in Statement :
es-causle: e c≤ e',
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
equal: s = t ∈ T
Lemmas :
es-causle_weakening_locl,
es-le-loc,
es-le_wf,
es-causle-le,
es-causle_wf,
Id_wf,
es-loc_wf
\mforall{}es:EO. \mforall{}e,e':E. (e \mleq{}loc e' \mLeftarrow{}{}\mRightarrow{} e c\mleq{} e' \mwedge{} (loc(e) = loc(e')))
Date html generated:
2015_07_17-AM-08_38_53
Last ObjectModification:
2015_01_27-PM-02_41_53
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