Nuprl Lemma : parallel-class-loc-bounded

∀[T,Info:Type]. ∀[X,Y:EClass(T)].  (LocBounded(T;X) ⇒ LocBounded(T;Y) ⇒ LocBounded(T;X || Y))


Proof




Definitions occuring in Statement :  parallel-class: X || Y,  loc-bounded-class: LocBounded(T;X),  eclass: EClass(A[eo; e]),  uall: ∀[x:A]. B[x],  implies: P ⇒ Q,  universe: Type
Lemmas :  bag-append_wf,  Id_wf,  parallel-classrel,  sq_stable__bag-member,  es-loc_wf,  bag-member-append,  bag-member_wf,  classrel_wf,  parallel-class_wf,  es-E_wf,  event-ordering+_subtype,  all_wf,  loc-bounded-class_wf,  eclass_wf,  event-ordering+_wf
\mforall{}[T,Info:Type].  \mforall{}[X,Y:EClass(T)].    (LocBounded(T;X)  {}\mRightarrow{}  LocBounded(T;Y)  {}\mRightarrow{}  LocBounded(T;X  ||  Y))



Date html generated: 2015_07_17-PM-00_46_39
Last ObjectModification: 2015_01_27-PM-11_06_40

Home Index