Nuprl Lemma : new_23_sig_vote_with_ballot_and_id-if-snd
∀[Cmd:ValueAllType]. ∀[propose,notify:Atom List]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
∀[es:EO+(Message(f))]. ∀[e:E]. ∀[n,r:ℤ]. ∀[i:Id].
(↑new_23_sig_vote_with_ballot_and_id(Cmd;notify;propose;f;es;e;n;r;i)) supposing
(((snd(msgval(e))) = i ∈ Id) and
(↑new_23_sig_vote_with_ballot(Cmd;notify;propose;f;es;e;n;r)))
Proof
Definitions occuring in Statement :
new_23_sig_vote_with_ballot_and_id: new_23_sig_vote_with_ballot_and_id(Cmd;notify;propose;f;es;e;n;r;i),
new_23_sig_vote_with_ballot: new_23_sig_vote_with_ballot(Cmd;notify;propose;f;es;e;n;r),
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose),
es-info-body: msgval(e),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
list: T List,
vatype: ValueAllType,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
pi2: snd(t),
int: ℤ,
atom: Atom,
equal: s = t ∈ T
Lemmas :
sq_stable__and,
equal_wf,
vatype_wf,
cons_wf_listp,
cons_wf,
nil_wf,
listp_wf,
sq_stable__equal,
squash_wf,
int_seg_wf,
length_wf,
name_wf,
new_23_sig_headers_wf,
l_all_iff,
l_member_wf,
new_23_sig_headers_fun_wf,
cons_member,
equal-wf-base,
list_subtype_base,
atom_subtype_base,
iff_weakening_equal,
name_eq_wf,
bool_wf,
eqtt_to_assert,
assert-name_eq,
sq_stable__no_repeats,
true_wf,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
new_23_sig_vote_with_ballot-assert-type,
assert_witness,
new_23_sig_vote_with_ballot_and_id_wf,
Id_wf,
es-info-body_wf,
assert_wf,
new_23_sig_vote_with_ballot_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Message_wf,
subtype_rel_dep_function,
new_23_sig_headers_type_wf,
list_wf,
set_wf,
valueall-type_wf,
member-eclass_wf,
new_23_sig_vote'base_wf,
sqequal-tt-to-assert,
sqequal-ff-to-assert,
eq_int_wf,
eq_id_wf,
eq_id_self,
btrue_wf,
and_wf,
not_assert_elim,
btrue_neq_bfalse,
false_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[propose,notify:Atom List].
\mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[n,r:\mBbbZ{}].
\mforall{}[i:Id].
(\muparrow{}new\_23\_sig\_vote\_with\_ballot\_and\_id(Cmd;notify;propose;f;es;e;n;r;i)) supposing
(((snd(msgval(e))) = i) and
(\muparrow{}new\_23\_sig\_vote\_with\_ballot(Cmd;notify;propose;f;es;e;n;r)))
Date html generated:
2015_07_23-PM-04_01_38
Last ObjectModification:
2015_02_04-PM-03_55_15
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