Nuprl Lemma : pv11_p1_ScoutState_wf
∀[Cmd:ValueAllType]. ∀[accpts:bag(Id)]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
(pv11_p1_ScoutState(Cmd;accpts;mf) ∈ pv11_p1_Ballot_Num()
─→ EClass(bag(Id) × ((pv11_p1_Ballot_Num() × ℤ × Cmd) List)))
Proof
Definitions occuring in Statement :
pv11_p1_ScoutState: pv11_p1_ScoutState(Cmd;accpts;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,
list: T List,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
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,
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,
state-class1_wf,
Message_wf,
pv11_p1_init_scout_wf,
pv11_p1_on_p1b_wf,
pv11_p1_p1b'base_wf,
pv11_p1_headers_type_wf,
bag_wf,
Id_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[accpts:bag(Id)]. \mforall{}[mf:pv11\_p1\_headers\_type\{i:l\}(Cmd)].
(pv11\_p1\_ScoutState(Cmd;accpts;mf) \mmember{} pv11\_p1\_Ballot\_Num()
{}\mrightarrow{} EClass(bag(Id) \mtimes{} ((pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbZ{} \mtimes{} Cmd) List)))
Date html generated:
2015_07_23-PM-04_32_22
Last ObjectModification:
2015_02_04-AM-07_22_00
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