Nuprl Lemma : new_23_sig_rounds_pos_fun
∀Cmd:ValueAllType. ∀notify,propose:Atom List. ∀f:new_23_sig_headers_type{i:l}(Cmd;notify;propose). ∀es:EO+(Message(f)).
∀e:E. ∀n:ℤ.
(0 ≤ new_23_sig_NewRoundsStateFun(Cmd;notify;propose;f;n;es;e))
Proof
Definitions occuring in Statement :
new_23_sig_NewRoundsStateFun: new_23_sig_NewRoundsStateFun(Cmd;notify;propose;f;x;es;e),
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,
le: A ≤ B,
all: ∀x:A. B[x],
natural_number: $n,
int: ℤ,
atom: Atom
Definitions unfolded in proof :
vatype: ValueAllType,
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
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],
uimplies: b supposing a,
prop: ℙ
Latex:
\mforall{}Cmd:ValueAllType. \mforall{}notify,propose:Atom List. \mforall{}f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose).
\mforall{}es:EO+(Message(f)). \mforall{}e:E. \mforall{}n:\mBbbZ{}.
(0 \mleq{} new\_23\_sig\_NewRoundsStateFun(Cmd;notify;propose;f;n;es;e))
Date html generated:
2016_05_17-PM-02_14_51
Last ObjectModification:
2015_12_29-PM-08_06_47
Theory : 2!3!consensus!with!signatures
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