{ es:EO
    [P:E  ]
      ((e:E. Dec(P e))  (e,e':E.  Dec(es-p-immediate-pred(es;P) e e'))) }

{ Proof }



Definitions occuring in Statement :  es-p-immediate-pred: es-p-immediate-pred(es;P) es-E: E event_ordering: EO decidable: Dec(P) uall: [x:A]. B[x] prop: all: x:A. B[x] implies: P  Q apply: f a function: x:A  B[x]
Definitions :  all: x:A. B[x] uall: [x:A]. B[x] prop: implies: P  Q es-p-immediate-pred: es-p-immediate-pred(es;P) and: P  Q member: t  T so_lambda: x.t[x] so_apply: x[s]
Lemmas :  decidable__and es-causl_wf es-E_wf not_wf decidable__es-causl decidable__alle-causl decidable__implies decidable__not decidable_wf event_ordering_wf

\mforall{}es:EO.  \mforall{}[P:E  {}\mrightarrow{}  \mBbbP{}].  ((\mforall{}e:E.  Dec(P  e))  {}\mRightarrow{}  (\mforall{}e,e':E.    Dec(es-p-immediate-pred(es;P)  e  e')))


Date html generated: 2011_08_16-AM-11_13_34
Last ObjectModification: 2011_06_20-AM-00_21_00

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