Nuprl Lemma : pv11_p1_Commander-program_wf

[Cmd:ValueAllType]. ∀[accpts,reps:bag(Id)]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
  (pv11_p1_Commander-program(Cmd;accpts;reps;mf) ∈ ∀x:pv11_p1_Ballot_Num() × ℤ × Cmd
                                                     LocalClass(pv11_p1_Commander(Cmd;accpts;reps;mf) x))


Proof




Definitions occuring in Statement :  pv11_p1_Commander-program: pv11_p1_Commander-program(Cmd;accpts;reps;mf) pv11_p1_Commander: pv11_p1_Commander(Cmd;accpts;reps;mf) pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd) pv11_p1_Ballot_Num: pv11_p1_Ballot_Num() msg-interface: Interface Message: Message(f) local-class: LocalClass(X) Id: Id vatype: ValueAllType uall: [x:A]. B[x] all: x:A. B[x] member: t ∈ T apply: a product: x:A × B[x] int: bag: bag(T)
Lemmas :  sq_stable__and equal_wf cons_wf_listp nil_wf listp_wf vatype_wf cons_wf pv11_p1_Ballot_Num_wf list_wf equal-wf-T-base sq_stable__equal squash_wf int_seg_wf length_wf name_wf pv11_p1_headers_wf l_all_iff l_member_wf pv11_p1_headers_fun_wf cons_member equal-wf-base iff_weakening_equal 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 pv11_p1_CommanderNotify_wf pv11_p1_CommanderOutput_wf pv11_p1_CommanderNotify-program_wf pv11_p1_CommanderOutput-program_wf pv11_p1_headers_type_wf bag_wf Id_wf set_wf valueall-type_wf

Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[accpts,reps:bag(Id)].  \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd)].
    (pv11\_p1\_Commander-program(Cmd;accpts;reps;mf)
      \mmember{}  \mforall{}x:pv11\_p1\_Ballot\_Num()  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd.  LocalClass(pv11\_p1\_Commander(Cmd;accpts;reps;mf)  x))



Date html generated: 2015_07_23-PM-04_32_11
Last ObjectModification: 2015_02_04-AM-07_22_16

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