Nuprl Lemma : es-locl-not-le
∀es:EO. ∀e,e':E. (e <loc e') ⇐⇒ ¬e' ≤loc e supposing loc(e) = loc(e') ∈ Id
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uimplies: b supposing a,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
not: ¬A,
equal: s = t ∈ T
Lemmas :
es-locl_transitivity2,
es-locl_irreflexivity,
es-le_wf,
es-locl_wf,
decidable__es-locl,
es-le-not-locl,
not_wf,
equal_wf,
Id_wf,
es-loc_wf,
es-E_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e,e':E. (e <loc e') \mLeftarrow{}{}\mRightarrow{} \mneg{}e' \mleq{}loc e supposing loc(e) = loc(e')
Date html generated:
2015_07_17-AM-08_39_47
Last ObjectModification:
2015_01_27-PM-02_41_13
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