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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