Nuprl Lemma : once-classrel

[Info,A:Type]. [X:EClass(A)]. [es:EO+(Info)]. [e:E].  v:A. uiff(v  once-class(X)(e);(no X prior to e)  v  X(e))


Proof not projected




Definitions occuring in Statement :  once-class: once-class(X) no-prior-classrel: (no X prior to e) classrel: v  X(e) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-E: E uiff: uiff(P;Q) uall: [x:A]. B[x] all: x:A. B[x] and: P  Q universe: Type
Definitions :  uall: [x:A]. B[x] so_lambda: x y.t[x; y] so_lambda: x.t[x] true: True squash: T bag-member: x  bs false: False implies: P  Q member: t  T uimplies: b supposing a not: A alle-lt: e<e'.P[e] no-prior-classrel: (no X prior to e) and: P  Q once-class: once-class(X) classrel: v  X(e) uiff: uiff(P;Q) all: x:A. B[x] so_apply: x[s1;s2] rev_implies: P  Q iff: P  Q so_apply: x[s] prop: subtype: S  T guard: {T}
Lemmas :  until-classrel eclass_wf event-ordering+_wf es-E_wf event-ordering+_inc es-locl_wf es-loc_wf Id_wf not_wf all_wf alle-lt_wf and_wf once-class_wf classrel_wf

\mforall{}[Info,A:Type].  \mforall{}[X:EClass(A)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].
    \mforall{}v:A.  uiff(v  \mmember{}  once-class(X)(e);(no  X  prior  to  e)  \mwedge{}  v  \mmember{}  X(e))


Date html generated: 2012_01_23-PM-12_26_32
Last ObjectModification: 2011_12_13-PM-02_24_06

Home Index