Nuprl Lemma : cs-is-committed-implies
∀[V:Type]. ∀[x:consensus-state3(V)].
x = COMMITED[cs-committed-val(x)] ∈ consensus-state3(V) supposing ↑cs-is-committed(x)
Proof
Definitions occuring in Statement :
cs-committed-val: cs-committed-val(x),
cs-is-committed: cs-is-committed(x),
cs-commited: COMMITED[v],
consensus-state3: consensus-state3(T),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
cs-committed-val: cs-committed-val(x),
cs-commited: COMMITED[v],
consensus-state3: consensus-state3(T),
cs-is-committed: cs-is-committed(x),
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
prop: ℙ,
isl: isl(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
outl: outl(x),
bfalse: ff,
false: False
Latex:
\mforall{}[V:Type]. \mforall{}[x:consensus-state3(V)].
x = COMMITED[cs-committed-val(x)] supposing \muparrow{}cs-is-committed(x)
Date html generated:
2016_05_16-AM-11_50_15
Last ObjectModification:
2015_12_29-PM-01_16_59
Theory : event-ordering
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