Nuprl Lemma : es-direct-prior-member

es:EO. e,e':E.  (e'  es-direct-prior(es;e)  (e' < e))


Proof not projected




Definitions occuring in Statement :  es-direct-prior: es-direct-prior(es;e) es-causl: (e < e') es-E: E event_ordering: EO all: x:A. B[x] implies: P  Q bag-member: x  bs
Definitions :  all: x:A. B[x] implies: P  Q uiff: uiff(P;Q) member: t  T and: P  Q so_lambda: x.t[x] es-direct-prior: es-direct-prior(es;e) bag-maximals: bag-maximals(bg;R) uimplies: b supposing a uall: [x:A]. B[x] so_apply: x[s] iff: P  Q subtype: S  T prop:
Lemmas :  bag-member-remove-repeats bag-maximals_wf es-pred-list_wf bag_qinc bnot_wf es-blocl_wf es-eq_wf bag-member-filter bag-maximal?_wf bag-member-list decidable__equal-es-E member-es-pred-list bag-member_wf es-E_wf es-direct-prior_wf event_ordering_wf

\mforall{}es:EO.  \mforall{}e,e':E.    (e'  \mdownarrow{}\mmember{}  es-direct-prior(es;e)  {}\mRightarrow{}  (e'  <  e))


Date html generated: 2012_01_23-PM-12_08_47
Last ObjectModification: 2011_11_29-PM-08_12_59

Home Index