Nuprl Lemma : pv11_p1_LeaderState_wf
∀[Cmd:ValueAllType]. ∀[ldrs_uid:Id ─→ ℤ]. ∀[mf:pv11_p1_headers_type{i:l}(Cmd)].
(pv11_p1_LeaderState(Cmd;ldrs_uid;mf) ∈ EClass(pv11_p1_Ballot_Num() × 𝔹 × ((ℤ × Cmd) List)))
Proof
Definitions occuring in Statement :
pv11_p1_LeaderState: pv11_p1_LeaderState(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,
list: T List,
vatype: ValueAllType,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ
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,
memory-class3_wf,
Message_wf,
bool_wf,
pv11_p1_init_leader_wf,
pv11_p1_on_propose_wf,
pv11_p1_propose'base_wf,
pv11_p1_when_adopted_wf,
pv11_p1_adopted'base_wf,
pv11_p1_when_preempted_wf,
pv11_p1_preempted'base_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\_LeaderState(Cmd;ldrs$_{uid}$;mf) \mmember{} EClass(pv11\_p1\_Ballot\_Num() \mtimes{} \mBbbB{} \mtimes{} \000C((\mBbbZ{} \mtimes{} Cmd) List)))
Date html generated:
2015_07_23-PM-04_33_05
Last ObjectModification:
2015_02_04-AM-07_20_51
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