Nuprl Lemma : rcvd-vote_wf
∀[V:Type]. ∀[A:Id List]. ∀[x:consensus-rcv(V;A)].  rcvd-vote(x) ∈ {b:Id| (b ∈ A)}  × ℕ × V supposing ↑rcv-vote?(x)
Proof
Definitions occuring in Statement : 
rcvd-vote: rcvd-vote(x)
, 
rcv-vote?: rcv-vote?(x)
, 
consensus-rcv: consensus-rcv(V;A)
, 
Id: Id
, 
l_member: (x ∈ l)
, 
list: T List
, 
nat: ℕ
, 
assert: ↑b
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
set: {x:A| B[x]} 
, 
product: x:A × B[x]
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
consensus-rcv: consensus-rcv(V;A)
, 
rcvd-vote: rcvd-vote(x)
, 
rcv-vote?: rcv-vote?(x)
, 
outr: outr(x)
, 
assert: ↑b
, 
ifthenelse: if b then t else f fi 
, 
bfalse: ff
, 
uimplies: b supposing a
, 
false: False
, 
prop: ℙ
, 
btrue: tt
Latex:
\mforall{}[V:Type].  \mforall{}[A:Id  List].  \mforall{}[x:consensus-rcv(V;A)].
    rcvd-vote(x)  \mmember{}  \{b:Id|  (b  \mmember{}  A)\}    \mtimes{}  \mBbbN{}  \mtimes{}  V  supposing  \muparrow{}rcv-vote?(x)
Date html generated:
2016_05_16-PM-00_33_57
Last ObjectModification:
2015_12_29-PM-01_33_23
Theory : event-ordering
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