Nuprl Lemma : OARcast_OrdererForSender_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(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf) ∈ Id ─→ EClass(Interface))


Proof




Definitions occuring in Statement :  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) eclass: EClass(A[eo; e]) Id: Id list: List vatype: ValueAllType uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x] 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_wf Message_wf list_wf msg-interface_wf OARcast_OrdererForSenderState_wf OARcast_orderer_for_sender_outputs_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(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;receivers;mf)  \mmember{}  Id
      {}\mrightarrow{}  EClass(Interface))



Date html generated: 2015_07_23-PM-00_31_45
Last ObjectModification: 2015_02_04-PM-04_30_35

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