Nuprl Lemma : pv11_p1_pvalue_wf
∀[Cmd:ValueAllType]. ∀[f:pv11_p1_headers_type{i:l}(Cmd)]. ∀[es:EO+(Message(f))]. ∀[accpts:bag(Id)]. ∀[ldrs_uid:Id ─→ ℤ].
∀[e:E]. ∀[x:pv11_p1_Ballot_Num() × ℤ × Cmd].
(pv11_p1_pvalue{i:l}(Cmd;ldrs_uid;accpts;es;e;x;f) ∈ ℙ')
Proof
Definitions occuring in Statement :
pv11_p1_pvalue: pv11_p1_pvalue{i:l}(Cmd;ldrs_uid;accpts;es;e;x;f),
pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ,
bag: bag(T)
Lemmas :
sq_stable__and,
equal_wf,
cons_wf_listp,
nil_wf,
listp_wf,
vatype_wf,
cons_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,
or_wf,
pv11_p1_AcceptorStateFun_wf,
valueall-type_wf,
exists_wf,
es-E_wf,
event-ordering+_subtype,
Message_wf,
es-le_wf,
pv11_p1_ScoutStateFun_wf,
eo-forward_wf,
member-eo-forward-E,
Id_wf,
es-loc_wf,
bag_wf,
es-header_wf,
subtype_rel-equal,
pv11_p1_Ballot_Num_wf,
event-ordering+_wf,
subtype_rel_dep_function,
pv11_p1_headers_type_wf,
set_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[f:pv11\_p1\_headers\_type\{i:l\}(Cmd)]. \mforall{}[es:EO+(Message(f))]. \mforall{}[accpts:bag(Id)].
\mforall{}[ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}]. \mforall{}[e:E]. \mforall{}[x:pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbZ{} \mtimes{} Cmd].
(pv11\_p1\_pvalue\{i:l\}(Cmd;ldrs$_{uid}$;accpts;es;e;x;f) \mmember{} \mBbbP{}')
Date html generated:
2015_07_23-PM-05_04_38
Last ObjectModification:
2015_02_04-AM-07_50_28
Home
Index