Nuprl Lemma : pv11_p1_valid-LeaderState_wf

[Cmd:{T:Type| valueall-type(T)} ]
  ∀f:pv11_p1_headers_type{i:l}(Cmd). ∀es:EO+(Message(f)). ∀ldrs_uid:Id ─→ ℤ. ∀e:E.
    (pv11_p1_valid-LeaderState(Cmd;ldrs_uid;es;e;f) ∈ ℙ)


Proof




Definitions occuring in Statement :  pv11_p1_valid-LeaderState: pv11_p1_valid-LeaderState(Cmd;ldrs_uid;es;e;f) pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd) Message: Message(f) event-ordering+: EO+(Info) es-E: E Id: Id valueall-type: valueall-type(T) uall: [x:A]. B[x] prop: all: x:A. B[x] member: t ∈ T set: {x:A| B[x]}  function: x:A ─→ B[x] int: universe: Type
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 pv11_p1_valid-proposals_wf pv11_p1_LeaderStateFun_wf bool_wf es-E_wf event-ordering+_subtype 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{}ldrs$_{uid}$:Id  {}\mrightarrow{}  \mBbbZ{}.\000C  \mforall{}e:E.
        (pv11\_p1\_valid-LeaderState(Cmd;ldrs$_{uid}$;es;e;f)  \mmember{}  \mBbbP{})



Date html generated: 2015_07_23-PM-05_03_24
Last ObjectModification: 2015_02_04-AM-07_51_15

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