Nuprl Lemma : pv11_p1_messages-delivered-w-omissions-accpts_wf
∀[Cmd:{T:Type| valueall-type(T)} ]. ∀[f:pv11_p1_headers_type{i:l}(Cmd)]. ∀[es:EO+(Message(f))]. ∀[accpts,ldrs:bag(Id)].
∀[ldrs_uid:Id ─→ ℤ]. ∀[reps:bag(Id)]. ∀[flrs:ℤ].
(pv11_p1_messages-delivered-w-omissions-accpts{i:l}(es;flrs;Cmd;accpts;ldrs;ldrs_uid;reps;f) ∈ ℙ')
Proof
Definitions occuring in Statement :
pv11_p1_messages-delivered-w-omissions-accpts: pv11_p1_messages-delivered-w-omissions-accpts{i:l}(es;flrs;Cmd;accpts;ldrs;ldrs_uid;reps;f),
pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd),
Message: Message(f),
event-ordering+: EO+(Info),
Id: Id,
valueall-type: valueall-type(T),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
int: ℤ,
universe: Type,
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,
msgs-interface-with-omissions-sub_wf,
pv11_p1_main_wf,
bag_wf,
Id_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,ldrs:bag(Id)]. \mforall{}[ldrs$_{uid}$:Id {}\mrightarrow{} \mBbbZ{}]. \mforall{}[reps:bag(Id)]. \mforall{}[flrs:\mBbbZ{}].
(pv11\_p1\_messages-delivered-w-omissions-accpts\{i:l\}(es;flrs;Cmd;accpts;ldrs;ldrs$_{uid\000C}$;reps;f) \mmember{} \mBbbP{}')
Date html generated:
2015_07_23-PM-05_06_00
Last ObjectModification:
2015_02_04-AM-07_49_13
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