Nuprl Lemma : OARcast_OrdererForSender-program_wf

[M:ValueAllType]. ∀[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom List]. ∀[receivers:bag(Id)].
[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
  (OARcast_OrdererForSender-program(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf)
   ∈ ∀x:Id. LocalClass(OARcast_OrdererForSender(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf) x))


Proof




Definitions occuring in Statement :  OARcast_OrdererForSender-program: OARcast_OrdererForSender-program(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf) OARcast_OrdererForSender: OARcast_OrdererForSender(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf) OARcast_headers_type: OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr) msg-interface: Interface Message: Message(f) local-class: LocalClass(X) Id: Id list: List vatype: ValueAllType uall: [x:A]. B[x] all: x:A. B[x] member: t ∈ T apply: a atom: Atom bag: bag(T)
Lemmas :  sq_stable__and equal_wf vatype_wf sq_stable__equal squash_wf int_seg_wf length_wf name_wf OARcast_headers_wf l_all_iff l_member_wf OARcast_headers_fun_wf cons_member cons_wf nil_wf equal-wf-base list_subtype_base atom_subtype_base iff_weakening_equal name_eq_wf bool_wf eqtt_to_assert assert-name_eq sq_stable__no_repeats true_wf eqff_to_assert bool_cases_sqequal subtype_base_sq bool_subtype_base assert-bnot Id_wf subtype_rel_dep_function eclass0-program_wf Message_wf list_wf msg-interface_wf product-valueall-type int-valueall-type Id-valueall-type Message-valueall-type OARcast_OrdererForSenderState_wf OARcast_orderer_for_sender_outputs_wf OARcast_OrdererForSenderState-program_wf OARcast_headers_type_wf bag_wf set_wf valueall-type_wf

Latex:
\mforall{}[M:ValueAllType].  \mforall{}[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom  List].  \mforall{}[receivers:bag(Id)].
\mforall{}[mf:OARcast\_headers\_type\{i:l\}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
    (OARcast\_OrdererForSender-program(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf)
      \mmember{}  \mforall{}x:Id
              LocalClass(OARcast\_OrdererForSender(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;...;mf) 
                                    x))



Date html generated: 2015_07_23-PM-00_31_52
Last ObjectModification: 2015_02_04-PM-04_30_30

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