Nuprl Lemma : new_23_sig_vote_with_ballot_first-assert-forward2
∀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))
         ∧ (∀e'∈[start;e).¬↑new_23_sig_vote_with_ballot_and_id(Cmd;notify;propose;f;es;e';n;r;snd(msgval(e))))))
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
, 
l_all: (∀x∈L.P[x])
, 
list: T List
, 
vatype: ValueAllType
, 
assert: ↑b
, 
pi2: snd(t)
, 
all: ∀x:A. B[x]
, 
iff: P 
⇐⇒ Q
, 
not: ¬A
, 
implies: P 
⇒ Q
, 
and: P ∧ Q
, 
int: ℤ
, 
atom: Atom
Definitions unfolded in proof : 
vatype: ValueAllType
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
, 
iff: P 
⇐⇒ Q
, 
and: P ∧ Q
, 
member: t ∈ T
, 
cand: A c∧ B
, 
uall: ∀[x:A]. B[x]
, 
or: P ∨ Q
, 
band: p ∧b q
, 
ifthenelse: if b then t else f fi 
, 
btrue: tt
, 
assert: ↑b
, 
true: True
, 
bfalse: ff
, 
false: False
, 
prop: ℙ
, 
uimplies: b supposing a
, 
subtype_rel: A ⊆r B
, 
rev_implies: P 
⇐ Q
, 
so_lambda: λ2x.t[x]
, 
has-es-info-type: has-es-info-type(es;e;f;T)
, 
pi2: snd(t)
, 
so_apply: x[s]
, 
new_23_sig_headers_type: new_23_sig_headers_type{i:l}(Cmd;notify;propose)
, 
bool: 𝔹
, 
unit: Unit
, 
it: ⋅
, 
uiff: uiff(P;Q)
, 
guard: {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,start:E.  \mforall{}n,r:\mBbbZ{}.
    ...
Date html generated:
2016_05_17-PM-02_33_35
Last ObjectModification:
2015_12_29-PM-08_04_24
Theory : 2!3!consensus!with!signatures
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