Nuprl Lemma : new_23_sig_messages-delivered_wf

[Cmd:ValueAllType]. ∀[clients:bag(Id)]. ∀[cmdeq:EqDecider(Cmd)]. ∀[coeff,flrs:ℤ]. ∀[notify,propose:Atom List].
[reps:bag(Id)]. ∀[slots:set-sig{i:l}(ℤ)]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
  (new_23_sig_messages-delivered{i:l}(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;slots;f) ∈ ℙ')


Proof




Definitions occuring in Statement :  new_23_sig_messages-delivered: new_23_sig_messages-delivered{i:l}(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;slots;f) new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose) Id: Id deq: EqDecider(T) list: List vatype: ValueAllType uall: [x:A]. B[x] prop: member: t ∈ T int: atom: Atom bag: bag(T) set-sig: set-sig{i:l}(Item)
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 msgs-interface-delivered_wf new_23_sig_main_wf new_23_sig_headers_type_wf set-sig_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{}[slots:set-sig\{i:l\}(\mBbbZ{})].
\mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)].
    (new\_23\_sig\_messages-delivered\{i:l\}(Cmd;clients;cmdeq;coeff;flrs;notify;propose;reps;slots;f)
      \mmember{}  \mBbbP{}')



Date html generated: 2015_07_23-PM-03_52_56
Last ObjectModification: 2015_02_04-PM-01_50_44

Home Index