Nuprl Lemma : new_23_sig_QuorumStateFun_wf

[Cmd:ValueAllType]. ∀[notify,propose:Atom List]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
[es:EO+(Message(f))]. ∀[e:E]. ∀[x:ℤ × ℤ].
  (new_23_sig_QuorumStateFun(Cmd;notify;propose;f;x;es;e) ∈ Cmd List × (Id List))


Proof




Definitions occuring in Statement :  new_23_sig_QuorumStateFun: new_23_sig_QuorumStateFun(Cmd;notify;propose;f;x;es;e) new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose) Message: Message(f) event-ordering+: EO+(Info) es-E: E Id: Id list: List vatype: ValueAllType uall: [x:A]. B[x] member: t ∈ T product: x:A × B[x] int: atom: Atom
Lemmas :  sq_stable__and equal_wf vatype_wf cons_wf_listp cons_wf nil_wf listp_wf Id_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 classfun_wf list_wf new_23_sig_QuorumState_wf new_23_sig_QuorumState-functional es-E_wf event-ordering+_subtype event-ordering+_wf Message_wf subtype_rel_dep_function new_23_sig_headers_type_wf set_wf valueall-type_wf

Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[notify,propose:Atom  List].
\mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)].  \mforall{}[es:EO+(Message(f))].  \mforall{}[e:E].  \mforall{}[x:\mBbbZ{}  \mtimes{}  \mBbbZ{}].
    (new\_23\_sig\_QuorumStateFun(Cmd;notify;propose;f;x;es;e)  \mmember{}  Cmd  List  \mtimes{}  (Id  List))



Date html generated: 2015_07_23-PM-03_50_43
Last ObjectModification: 2015_02_04-PM-01_59_34

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