Nuprl Lemma : pv11_p1_LeaderAdopted_wf

[Cmd:ValueAllType]. ∀[ldrs_uid:Id ─→ ℤ]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
  (pv11_p1_LeaderAdopted(Cmd;ldrs_uid;mf) ∈ EClass(pv11_p1_Ballot_Num() × ℤ × Cmd))


Proof




Definitions occuring in Statement :  pv11_p1_LeaderAdopted: pv11_p1_LeaderAdopted(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) eclass: EClass(A[eo; e]) Id: Id 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 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 eclass2_wf Message_wf bool_wf eclass1_wf bag_wf pv11_p1_adopted'base_wf pv11_p1_leader_adopted_wf pv11_p1_LeaderState_wf pv11_p1_headers_type_wf Id_wf set_wf valueall-type_wf

Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[ldrs$_{uid}$:Id  {}\mrightarrow{}  \mBbbZ{}].  \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd\000C)].
    (pv11\_p1\_LeaderAdopted(Cmd;ldrs$_{uid}$;mf)  \mmember{}  EClass(pv11\_p1\_Ballot\_Num()  \mtimes{}  \mBbbZ{}  \000C\mtimes{}  Cmd))



Date html generated: 2015_07_23-PM-04_33_35
Last ObjectModification: 2015_02_04-AM-07_20_20

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