Nuprl Lemma : consistent-class_wf

[Info,T:Type]. [R:T  T  ]. [X:EClass(T)]. [es:EO+(Info)].  (any x,y from X satisfyR[x;y]  )


Proof not projected




Definitions occuring in Statement :  consistent-class: consistent-class eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) uall: [x:A]. B[x] prop: so_apply: x[s1;s2] member: t  T function: x:A  B[x] universe: Type
Definitions :  uall: [x:A]. B[x] prop: member: t  T consistent-class: consistent-class so_apply: x[s1;s2] implies: P  Q so_lambda: x.t[x] so_lambda: x y.t[x; y] all: x:A. B[x] so_apply: x[s] subtype: S  T
Lemmas :  all_wf es-E_wf event-ordering+_inc classrel_wf event-ordering+_wf eclass_wf

\mforall{}[Info,T:Type].  \mforall{}[R:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].  \mforall{}[X:EClass(T)].  \mforall{}[es:EO+(Info)].
    (any  x,y  from  X  satisfy
      R[x;y]  \mmember{}  \mBbbP{})


Date html generated: 2012_01_23-PM-12_16_39
Last ObjectModification: 2012_01_20-AM-00_53_04

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