Nuprl Lemma : pv11_p1_messages-delivered-w-omissions-accpts_wf

[Cmd:{T:Type| valueall-type(T)} ]. ∀[f:pv11_p1_headers_type{i:l}(Cmd)]. ∀[es:EO+(Message(f))]. ∀[accpts,ldrs:bag(Id)].
[ldrs_uid:Id ─→ ℤ]. ∀[reps:bag(Id)]. ∀[flrs:ℤ].
  (pv11_p1_messages-delivered-w-omissions-accpts{i:l}(es;flrs;Cmd;accpts;ldrs;ldrs_uid;reps;f) ∈ ℙ')


Proof




Definitions occuring in Statement :  pv11_p1_messages-delivered-w-omissions-accpts: pv11_p1_messages-delivered-w-omissions-accpts{i:l}(es;flrs;Cmd;accpts;ldrs;ldrs_uid;reps;f) pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd) Message: Message(f) event-ordering+: EO+(Info) Id: Id valueall-type: valueall-type(T) uall: [x:A]. B[x] prop: member: t ∈ T set: {x:A| B[x]}  function: x:A ─→ B[x] int: universe: Type 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 msgs-interface-with-omissions-sub_wf pv11_p1_main_wf bag_wf Id_wf event-ordering+_wf Message_wf subtype_rel_dep_function pv11_p1_headers_type_wf set_wf valueall-type_wf

Latex:
\mforall{}[Cmd:\{T:Type|  valueall-type(T)\}  ].  \mforall{}[f:pv11\_p1\_headers\_type\{i:l\}(Cmd)].  \mforall{}[es:EO+(Message(f))].
\mforall{}[accpts,ldrs:bag(Id)].  \mforall{}[ldrs$_{uid}$:Id  {}\mrightarrow{}  \mBbbZ{}].  \mforall{}[reps:bag(Id)].  \mforall{}[flrs:\mBbbZ{}].
    (pv11\_p1\_messages-delivered-w-omissions-accpts\{i:l\}(es;flrs;Cmd;accpts;ldrs;ldrs$_{uid\000C}$;reps;f)  \mmember{}  \mBbbP{}')



Date html generated: 2015_07_23-PM-05_06_00
Last ObjectModification: 2015_02_04-AM-07_49_13

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