Nuprl Lemma : pv11_p1_valid-ScoutState_wf
∀[Cmd:{T:Type| valueall-type(T)} ]
∀f:pv11_p1_headers_type{i:l}(Cmd). ∀es:EO+(Message(f)). ∀accpts:bag(Id). ∀b:pv11_p1_Ballot_Num(). ∀e,start:E.
(((loc(e) = loc(start) ∈ Id) ⇒ start ≤loc e ) ⇒ (pv11_p1_valid-ScoutState(Cmd;accpts;b;start;es;e;f) ∈ ℙ))
Proof
Definitions occuring in Statement :
pv11_p1_valid-ScoutState: pv11_p1_valid-ScoutState(Cmd;accpts;b;start;es;e;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-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
Id: Id,
valueall-type: valueall-type(T),
uall: ∀[x:A]. B[x],
prop: ℙ,
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type,
equal: s = t ∈ T,
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,
pv11_p1_valid-proposals_wf,
map_wf,
pv11_p1_ScoutStateFun_wf,
eo-forward_wf,
member-eo-forward-E,
bag_wf,
Id_wf,
es-loc_wf,
es-le_wf,
es-E_wf,
event-ordering+_subtype,
pv11_p1_Ballot_Num_wf,
event-ordering+_wf,
Message_wf,
subtype_rel_dep_function,
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{}accpts:bag(Id). \mforall{}b:pv11\_p1\_Ballot\_Num().
\mforall{}e,start:E.
(((loc(e) = loc(start)) {}\mRightarrow{} start \mleq{}loc e )
{}\mRightarrow{} (pv11\_p1\_valid-ScoutState(Cmd;accpts;b;start;es;e;f) \mmember{} \mBbbP{}))
Date html generated:
2015_07_23-PM-05_03_33
Last ObjectModification:
2015_02_04-AM-07_51_21
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