Nuprl Lemma : es-le-iff
∀the_es:EO. ∀e,e':E. (e ≤loc e' ⇐⇒ ((¬↑first(e')) c∧ e ≤loc pred(e') ) ∨ (e = e' ∈ E))
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-first: first(e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
cand: A c∧ B,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
not: ¬A,
or: P ∨ Q,
equal: s = t ∈ T
Lemmas :
es-locl-iff,
es-locl_wf,
equal_wf,
es-pred_wf,
or_wf,
not_wf,
assert_wf,
es-first_wf2,
iff_wf,
es-E_wf,
event_ordering_wf
\mforall{}the$_{es}$:EO. \mforall{}e,e':E. (e \mleq{}loc e' \mLeftarrow{}{}\mRightarrow{} ((\mneg{}\muparrow{}first(e')) c\mwedge{} e \mleq{}loc pred(e') ) \mvee{} \000C(e = e'))
Date html generated:
2015_07_17-AM-08_38_51
Last ObjectModification:
2015_01_27-PM-02_42_41
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