Nuprl Lemma : bag-member-classfun-res

[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. ∀[e:E].
  (X@e ↓∈ es e) supposing (single-valued-classrel(es;X;T) and (↑e ∈b X))


Proof




Definitions occuring in Statement :  classfun-res: X@e single-valued-classrel: single-valued-classrel(es;X;T) member-eclass: e ∈b X eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) es-E: E assert: b uimplies: supposing a uall: [x:A]. B[x] apply: a universe: Type bag-member: x ↓∈ bs
Lemmas :  bag_wf bag-member-sv-bag-only member-eclass-iff-size less_than_wf bag-size_wf nat_wf all_wf bag-member_wf single-valued-classrel_wf assert_wf member-eclass_wf es-E_wf event-ordering+_subtype eclass_wf event-ordering+_wf
\mforall{}[Info,T:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(T)].  \mforall{}[e:E].
    (X@e  \mdownarrow{}\mmember{}  X  es  e)  supposing  (single-valued-classrel(es;X;T)  and  (\muparrow{}e  \mmember{}\msubb{}  X))



Date html generated: 2015_07_17-PM-00_21_40
Last ObjectModification: 2015_01_27-PM-11_39_49

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