Nuprl Lemma : OARcast_Sender-program_wf

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


Proof




Definitions occuring in Statement :  OARcast_Sender-program: OARcast_Sender-program(M;deliverhdr;oarcasthdr;orderedhdr;orderers;orderhdr;mf) OARcast_Sender: OARcast_Sender(M;deliverhdr;oarcasthdr;orderedhdr;orderers;orderhdr;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] member: t ∈ T 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 eclass2-program_wf eclass1-program_wf function-valueall-type valueall-type-value-type bag_wf bag-valueall-type product-valueall-type int-valueall-type Id-valueall-type Message-valueall-type OARcast_headers_type_wf list_wf set_wf valueall-type_wf

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



Date html generated: 2015_07_23-PM-00_31_00
Last ObjectModification: 2015_02_04-PM-02_52_41

Home Index