Nuprl Lemma : new_23_sig_vote_with_ballot_and_id-assert-classrel
∀[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].
<<<n, r>, snd(fst(msgval(e)))>, i> ∈ new_23_sig_vote'base(Cmd;notify;propose;f)(e)
supposing ↑new_23_sig_vote_with_ballot_and_id(Cmd;notify;propose;f;es;e;n;r;i)
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'base: new_23_sig_vote'base(Cmd;notify;propose;f),
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose),
es-info-body: msgval(e),
Message: Message(f),
classrel: v ∈ X(e),
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],
pi1: fst(t),
pi2: snd(t),
pair: <a, b>,
product: x:A × B[x],
int: ℤ,
atom: Atom
Lemmas :
new_23_sig_vote_with_ballot_and_id-assert-type,
member-eclass_wf,
Message_wf,
new_23_sig_vote'base_wf,
bool_wf,
eqtt_to_assert,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
eq_int_wf,
es-info-body_wf,
es-info-type_wf,
pi1_wf_top,
top_wf,
subtype_rel_product,
subtype_top,
Id_wf,
subtype_rel_transitivity,
assert_of_eq_int,
neg_assert_of_eq_int,
eq_id_wf,
assert-eq-id,
assert-member-eclass,
sq_stable__classrel,
base-noloc-classrel,
cons_wf_listp,
cons_wf,
nil_wf,
listp_wf,
subtype_rel_weakening,
ext-eq_weakening,
and_wf,
pi2_wf,
int_subtype_base,
true_wf,
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].
<<<n, r>, snd(fst(msgval(e)))>, i> \mmember{} new\_23\_sig\_vote'base(Cmd;notify;propose;f)(e)
supposing \muparrow{}new\_23\_sig\_vote\_with\_ballot\_and\_id(Cmd;notify;propose;f;es;e;n;r;i)
Date html generated:
2015_07_23-PM-04_01_31
Last ObjectModification:
2015_01_29-AM-08_49_32
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