Nuprl Lemma : pv11_p1_decision'broadcast_wf

[Cmd:ValueAllType]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
  (pv11_p1_decision'broadcast(Cmd;mf) ∈ bag(Id) ─→ (ℤ × Cmd) ─→ bag(Interface))


Proof




Definitions occuring in Statement :  pv11_p1_decision'broadcast: pv11_p1_decision'broadcast(Cmd;mf) pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd) msg-interface: Interface Id: Id vatype: ValueAllType uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x] 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 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 bag-map_wf msg-interface_wf mk-msg-interface_wf make-Msg_wf subtype_rel_weakening ext-eq_weakening bag_wf 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\_decision'broadcast(Cmd;mf)  \mmember{}  bag(Id)  {}\mrightarrow{}  (\mBbbZ{}  \mtimes{}  Cmd)  {}\mrightarrow{}  bag(Interface))



Date html generated: 2015_07_23-PM-04_12_28
Last ObjectModification: 2015_02_04-AM-07_24_35

Home Index