{ 
[V:Type]
x:consensus-state3(V)
(((x = INITIAL) 
(x = WITHDRAWN))
(
v:V. ((x = CONSIDERING[v]) (x = COMMITED[v])))) }
{ Proof }
Definitions occuring in Statement :
cs-commited: COMMITED[v],
cs-considering: CONSIDERING[v],
cs-withdrawn: WITHDRAWN,
cs-initial: INITIAL,
consensus-state3: consensus-state3(T),
uall: [x:A]. B[x],
all: x:A. B[x],
exists: x:A. B[x],
or: P Q,
universe: Type,
equal: s = t
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
or: P Q,
exists: x:A. B[x],
guard: {T},
member: t 
T,
prop: 
,
implies: P 
Q,
consensus-state3: consensus-state3(T),
bool: 
,
unit: Unit,
iff: P 
Q,
and: P 
Q,
cs-initial: INITIAL,
cs-withdrawn: WITHDRAWN,
cs-considering: CONSIDERING[v],
cs-commited: COMMITED[v],
it: 
,
btrue: tt,
bfalse: ff
Lemmas :
consensus-state3_wf,
cs-commited_wf,
cs-considering_wf,
cs-initial_wf,
cs-withdrawn_wf,
bool_wf,
iff_weakening_uiff,
assert_wf,
eqtt_to_assert,
not_wf,
uiff_transitivity,
bnot_wf,
eqff_to_assert,
assert_of_bnot
\mforall{}[V:Type]
\mforall{}x:consensus-state3(V)
(((x = INITIAL) \mvee{} (x = WITHDRAWN)) \mvee{} (\mexists{}v:V. ((x = CONSIDERING[v]) \mvee{} (x = COMMITED[v]))))
Date html generated:
2011_08_16-AM-09_56_12
Last ObjectModification:
2011_06_18-AM-08_55_59
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