Nuprl Lemma : pv11_p1_decision_wf
∀[Cmd:ValueAllType]. ∀[f:pv11_p1_headers_type{i:l}(Cmd)]. ∀[es:EO+(Message(f))]. ∀[accpts,ldrs:bag(Id)].
∀[ldrs_uid:Id ─→ ℤ]. ∀[reps:bag(Id)]. ∀[e:E]. ∀[k:ℤ]. ∀[v:Cmd].
(pv11_p1_decision{i:l}(Cmd;f;accpts;ldrs;ldrs_uid;reps;es;e;k;v) ∈ ℙ')
Proof
Definitions occuring in Statement :
pv11_p1_decision: pv11_p1_decision{i:l}(Cmd;f;accpts;ldrs;ldrs_uid;reps;es;e;k;v),
pv11_p1_headers_type: pv11_p1_headers_type{i:l}(Cmd),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: 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,
exists_wf,
Id_wf,
classrel_wf,
Message_wf,
msg-interface_wf,
pv11_p1_main_wf,
valueall-type_wf,
make-msg-interface_wf,
make-Msg_wf,
subtype_rel_weakening,
ext-eq_weakening,
es-E_wf,
event-ordering+_subtype,
bag_wf,
event-ordering+_wf,
subtype_rel_dep_function,
pv11_p1_headers_type_wf,
set_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \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{}[e:E]. \mforall{}[k:\mBbbZ{}]\000C. \mforall{}[v:Cmd].
(pv11\_p1\_decision\{i:l\}(Cmd;f;accpts;ldrs;ldrs$_{uid}$;reps;es;e;k;v) \mmember{} \mBbbP{}')
Date html generated:
2015_07_23-PM-05_05_02
Last ObjectModification:
2015_02_04-AM-07_49_42
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