Nuprl Lemma : OARcast_DelivererForSenderSeq-program_wf

[M:ValueAllType]. ∀[deliverhdr:Atom List]. ∀[deqM:EqDecider(M)]. ∀[flrs:ℤ]. ∀[oarcasthdr,orderedhdr:Atom List].
[orderers:bag(Id)]. ∀[orderhdr:Atom List].
[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
  (OARcast_DelivererForSenderSeq-program(M;deliverhdr;deqM;flrs;oarcasthdr;orderedhdr;orderers;orderhdr;mf)
   ∈ ∀x:Id. ∀zv:ℤ.
       LocalClass(OARcast_DelivererForSenderSeq(M;deliverhdr;deqM;flrs;oarcasthdr;orderedhdr;orderers;orderhdr;mf) 
                  zv))


Proof




Definitions occuring in Statement :  OARcast_DelivererForSenderSeq-program: OARcast_DelivererForSenderSeq-program(M;deliverhdr;deqM;flrs;oarcasthdr;orderedhdr;orderers;orderhdr;mf) OARcast_DelivererForSenderSeq: OARcast_DelivererForSenderSeq(M;deliverhdr;deqM;flrs;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 deq: EqDecider(T) list: List vatype: ValueAllType uall: [x:A]. B[x] all: x:A. B[x] member: t ∈ T apply: a int: 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 nat_wf msg-interface_wf product-valueall-type int-valueall-type Id-valueall-type Message-valueall-type OARcast_DelivererForSenderSeqState_wf OARcast_deliverer_for_sender_seq_output_wf OARcast_DelivererForSenderSeqState-program_wf all_wf local-class_wf bag_wf OARcast_headers_type_wf deq_wf set_wf valueall-type_wf

Latex:
\mforall{}[M:ValueAllType].  \mforall{}[deliverhdr:Atom  List].  \mforall{}[deqM:EqDecider(M)].  \mforall{}[flrs:\mBbbZ{}].
\mforall{}[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\_DelivererForSenderSeq-program(M;deliverhdr;deqM;flrs;oarcasthdr;orderedhdr;...;...;mf)
      \mmember{}  \mforall{}x:Id.  \mforall{}zv:\mBbbZ{}.
              LocalClass(OARcast\_DelivererForSenderSeq(M;deliverhdr;deqM;flrs;oarcasthdr;...;...;...;mf) 
                                    x 
                                    zv))



Date html generated: 2015_07_23-PM-00_33_52
Last ObjectModification: 2015_02_04-PM-04_29_21

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