Nuprl Lemma : pv11_p1_p1b'send_wf

[Cmd:ValueAllType]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
  (pv11_p1_p1b'send(Cmd;mf) ∈ Id
   ─→ (Id × pv11_p1_Ballot_Num() × pv11_p1_Ballot_Num() × ((pv11_p1_Ballot_Num() × ℤ × Cmd) List))
   ─→ Interface)


Proof




Definitions occuring in Statement :  pv11_p1_p1b'send: pv11_p1_p1b'send(Cmd;mf) pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd) pv11_p1_Ballot_Num: pv11_p1_Ballot_Num() msg-interface: Interface Id: Id list: List vatype: ValueAllType 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 Id_wf 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 mk-msg-interface_wf make-Msg_wf subtype_rel_weakening ext-eq_weakening pv11_p1_headers_type_wf set_wf valueall-type_wf

Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd)].
    (pv11\_p1\_p1b'send(Cmd;mf)  \mmember{}  Id
      {}\mrightarrow{}  (Id  \mtimes{}  pv11\_p1\_Ballot\_Num()  \mtimes{}  pv11\_p1\_Ballot\_Num()  \mtimes{}  ((pv11\_p1\_Ballot\_Num()  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd)  List))
      {}\mrightarrow{}  Interface)



Date html generated: 2015_07_23-PM-04_12_01
Last ObjectModification: 2015_02_04-AM-07_26_06

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