Nuprl Lemma : es-next
∀es:EO. ∀e,a:E. ((a <loc e) ⇒ (∃b:E. ((¬↑first(b)) c∧ ((a = pred(b) ∈ E) ∧ b ≤loc e ))))
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-locl: (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],
exists: ∃x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
and: P ∧ Q,
equal: s = t ∈ T
Lemmas :
event_ordering_wf,
all_wf,
es-E_wf,
es-locl_wf,
exists_wf,
not_wf,
assert_wf,
es-first_wf2,
es-pred_wf,
es-le_wf,
es-locl-iff,
es-locl-wellfnd,
es-le-self,
es-pred-locl,
es-locl_transitivity1,
es-le_weakening
\mforall{}es:EO. \mforall{}e,a:E. ((a <loc e) {}\mRightarrow{} (\mexists{}b:E. ((\mneg{}\muparrow{}first(b)) c\mwedge{} ((a = pred(b)) \mwedge{} b \mleq{}loc e ))))
Date html generated:
2015_07_17-AM-08_39_23
Last ObjectModification:
2015_01_27-PM-02_41_26
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