Nuprl Lemma : new_23_sig_Voter-program_wf

[Cmd:ValueAllType]. ∀[clients:bag(Id)]. ∀[cmdeq:EqDecider(Cmd)]. ∀[coeff,flrs:ℤ]. ∀[notify,propose:Atom List].
[reps:bag(Id)]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
  (new_23_sig_Voter-program(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;f)
   ∈ ∀x:ℤ × Cmd. LocalClass(new_23_sig_Voter(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;f) x))


Proof




Definitions occuring in Statement :  new_23_sig_Voter-program: new_23_sig_Voter-program(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;f) new_23_sig_Voter: new_23_sig_Voter(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;f) new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose) 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 product: x:A × B[x] int: atom: Atom bag: bag(T)
Lemmas :  sq_stable__and equal_wf vatype_wf cons_wf_listp cons_wf nil_wf listp_wf sq_stable__equal squash_wf int_seg_wf length_wf name_wf new_23_sig_headers_wf l_all_iff l_member_wf new_23_sig_headers_fun_wf cons_member 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 subtype_rel_dep_function parallel-class-program_wf Message_wf msg-interface_wf product-valueall-type int-valueall-type Id-valueall-type Message-valueall-type until-class_wf new_23_sig_Rounds_wf new_23_sig_Notify_wf es-interface-subtype_rel2 es-E_wf event-ordering+_subtype event-ordering+_wf top_wf subtype_top until-class-program_wf new_23_sig_Rounds-program_wf new_23_sig_Notify-program_wf new_23_sig_headers_type_wf list_wf deq_wf bag_wf Id_wf set_wf valueall-type_wf

Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[clients:bag(Id)].  \mforall{}[cmdeq:EqDecider(Cmd)].  \mforall{}[coeff,flrs:\mBbbZ{}].
\mforall{}[notify,propose:Atom  List].  \mforall{}[reps:bag(Id)].  \mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)].
    (new\_23\_sig\_Voter-program(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;f)
      \mmember{}  \mforall{}x:\mBbbZ{}  \mtimes{}  Cmd.  LocalClass(new\_23\_sig\_Voter(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;f)  x))



Date html generated: 2015_07_23-PM-03_51_46
Last ObjectModification: 2015_02_04-PM-01_55_30

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