Nuprl Lemma : pv11_p1_LeaderState-program_wf

[Cmd:ValueAllType]. ∀[ldrs_uid:Id ─→ ℤ]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
  (pv11_p1_LeaderState-program(Cmd;ldrs_uid;mf) ∈ LocalClass(pv11_p1_LeaderState(Cmd;ldrs_uid;mf)))


Proof




Definitions occuring in Statement :  pv11_p1_LeaderState-program: pv11_p1_LeaderState-program(Cmd;ldrs_uid;mf) pv11_p1_LeaderState: pv11_p1_LeaderState(Cmd;ldrs_uid;mf) pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd) pv11_p1_Ballot_Num: pv11_p1_Ballot_Num() Message: Message(f) local-class: LocalClass(X) Id: Id list: List vatype: ValueAllType bool: 𝔹 uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x] product: x:A × B[x] int:
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 memory-class3-program_wf it_wf product-valueall-type union-valueall-type unit_wf2 int-valueall-type Id-valueall-type equal-valueall-type list-valueall-type valueall-type_wf sq_stable__valueall-type pv11_p1_headers_type_wf Id_wf set_wf

Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[ldrs$_{uid}$:Id  {}\mrightarrow{}  \mBbbZ{}].  \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd\000C)].
    (pv11\_p1\_LeaderState-program(Cmd;ldrs$_{uid}$;mf)  \mmember{}  LocalClass(pv11\_p1\_LeaderS\000Ctate(Cmd;ldrs$_{uid}$;mf)))



Date html generated: 2015_07_23-PM-04_33_17
Last ObjectModification: 2015_02_04-AM-07_20_49

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