Nuprl Lemma : pv11_p1_valid-adopted-message_wf
∀Cmd:{T:Type| valueall-type(T)} . ∀f:pv11_p1_headers_type{i:l}(Cmd). ∀es:EO+(Message(f)). ∀e:E.
(has-es-info-type(es;e;f;pv11_p1_Ballot_Num() × ((pv11_p1_Ballot_Num() × ℤ × Cmd) List))
⇒ (pv11_p1_valid-adopted-message(Cmd;es;e;f) ∈ ℙ))
Proof
Definitions occuring in Statement :
pv11_p1_valid-adopted-message: pv11_p1_valid-adopted-message(Cmd;es;e;f),
pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd),
pv11_p1_Ballot_Num: pv11_p1_Ballot_Num(),
has-es-info-type: has-es-info-type(es;e;f;T),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
list: T List,
valueall-type: valueall-type(T),
prop: ℙ,
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
set: {x:A| B[x]} ,
product: x:A × B[x],
int: ℤ,
universe: Type
Lemmas :
int_seg_wf,
length_wf,
name_wf,
pv11_p1_headers_wf,
l_all_iff,
l_member_wf,
equal_wf,
pv11_p1_headers_fun_wf,
cons_wf_listp,
nil_wf,
listp_wf,
cons_member,
cons_wf,
equal-wf-base,
iff_weakening_equal,
Id_wf,
es-info-body_wf,
pv11_p1_valid-proposals_wf,
map_wf,
has-es-info-type_wf,
pv11_p1_Ballot_Num_wf,
list_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Message_wf,
subtype_rel_dep_function,
vatype_wf,
pv11_p1_headers_type_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}Cmd:\{T:Type| valueall-type(T)\} . \mforall{}f:pv11\_p1\_headers\_type\{i:l\}(Cmd). \mforall{}es:EO+(Message(f)). \mforall{}e:E.
(has-es-info-type(es;e;f;pv11\_p1\_Ballot\_Num() \mtimes{} ((pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbZ{} \mtimes{} Cmd) List))
{}\mRightarrow{} (pv11\_p1\_valid-adopted-message(Cmd;es;e;f) \mmember{} \mBbbP{}))
Date html generated:
2015_07_23-PM-05_03_38
Last ObjectModification:
2015_02_04-AM-07_51_10
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