Nuprl Lemma : new_23_sig_vote_with_ballot_first-forward
∀Cmd:ValueAllType. ∀propose,notify:Atom List. ∀f:new_23_sig_headers_type{i:l}(Cmd;notify;propose). ∀es:EO+(Message(f)).
∀e,start:E. ∀n,r:ℤ.
(start ≤loc e
⇒ (new_23_sig_vote_with_ballot_first(Cmd;notify;propose;f;es.start;e;n;r)
~ new_23_sig_vote_with_ballot(Cmd;notify;propose;f;es;e;n;r)
∧b (∀e'∈[start;e).¬bnew_23_sig_vote_with_ballot_and_id(Cmd;notify;propose;f;es;e';n;r;snd(msgval(e))))_b))
Proof
Definitions occuring in Statement :
new_23_sig_vote_with_ballot_first: new_23_sig_vote_with_ballot_first(Cmd;notify;propose;f;es;e;n;r),
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),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-closed-open-interval: [e;e'),
es-le: e ≤loc e' ,
es-E: E,
bl-all: (∀x∈L.P[x])_b,
list: T List,
band: p ∧b q,
vatype: ValueAllType,
bnot: ¬bb,
pi2: snd(t),
all: ∀x:A. B[x],
implies: P ⇒ Q,
int: ℤ,
atom: Atom,
sqequal: s ~ t
Lemmas :
int_seg_wf,
length_wf,
name_wf,
new_23_sig_headers_wf,
l_all_iff,
l_member_wf,
equal_wf,
new_23_sig_headers_fun_wf,
cons_member,
cons_wf,
cons_wf_listp,
listp_wf,
nil_wf,
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,
squash_wf,
true_wf,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
Id_wf,
es-le_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Message_wf,
subtype_rel_dep_function,
vatype_wf,
new_23_sig_headers_type_wf,
list_wf,
set_wf,
valueall-type_wf,
new_23_sig_vote_with_ballot-forward,
new_23_sig_vote_with_ballot_and_id-forward,
eo-forward-info-body,
new_23_sig_vote_with_ballot_wf,
sqequal-tt-to-assert,
new_23_sig_vote_with_ballot-assert-type,
es-info-body_wf,
sqequal-ff-to-assert,
eo-forward_wf,
member-eo-forward-E,
es-loc_wf,
bnot_wf,
new_23_sig_vote_with_ballot_and_id_wf,
eo-forward-E-subtype,
es-closed-open-interval_wf,
es-init_wf,
es-init-forward,
es-le-self,
bl-all_wf,
equal-eo-forward-E,
and_wf,
strong-subtype-equal-lists,
strong-subtype-eo-forward-E,
es-closed-open-interval-forward
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,start:E. \mforall{}n,r:\mBbbZ{}.
(start \mleq{}loc e
{}\mRightarrow{} (new\_23\_sig\_vote\_with\_ballot\_first(Cmd;notify;propose;f;es.start;e;n;r)
\msim{} new\_23\_sig\_vote\_with\_ballot(Cmd;notify;propose;f;es;e;n;r)
\mwedge{}\msubb{} (\mforall{}e'\mmember{}[start;e).
\mneg{}\msubb{}new\_23\_sig\_vote\_with\_ballot\_and\_id(Cmd;notify;propose;f;es;e';n;r;snd(msgval(e))))\_b))
Date html generated:
2015_07_23-PM-04_02_03
Last ObjectModification:
2015_02_04-PM-03_56_02
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