Nuprl Lemma : new_23_sig_vote_with_ballot_first_alt_wf
∀[Cmd:ValueAllType]. ∀[propose,notify:Atom List]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
∀[es:EO+(Message(f))]. ∀[e,e':E]. ∀[n,r:ℤ]. ∀[a:E].
(new_23_sig_vote_with_ballot_first_alt(Cmd;notify;propose;f;es;e;e';n;r;a) ∈ 𝔹)
Proof
Definitions occuring in Statement :
new_23_sig_vote_with_ballot_first_alt: new_23_sig_vote_with_ballot_first_alt(Cmd;notify;propose;f;es;e;e';n;r;a),
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose),
Message: Message(f),
event-ordering+: EO+(Info),
es-E: E,
list: T List,
vatype: ValueAllType,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ,
atom: Atom
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
new_23_sig_vote_with_ballot_first_alt: new_23_sig_vote_with_ballot_first_alt(Cmd;notify;propose;f;es;e;e';n;r;a),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
band: p ∧b q,
ifthenelse: if b then t else f fi ,
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
subtype_rel: A ⊆r B,
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose),
so_lambda: λ2x.t[x],
so_apply: x[s],
vatype: ValueAllType,
deq: EqDecider(T),
has-es-info-type: has-es-info-type(es;e;f;T),
pi2: snd(t)
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':E]. \mforall{}[n,r:\mBbbZ{}].
\mforall{}[a:E].
(new\_23\_sig\_vote\_with\_ballot\_first\_alt(Cmd;notify;propose;f;es;e;e';n;r;a) \mmember{} \mBbbB{})
Date html generated:
2016_05_17-PM-02_33_44
Last ObjectModification:
2015_12_29-PM-08_03_24
Theory : 2!3!consensus!with!signatures
Home
Index