{ 
[V:Type]
x:consensus-state3(V)
(
cs-is-considering(x) 
v:V. (x = CONSIDERING[v])) }
{ Proof }
Definitions occuring in Statement :
cs-is-considering: cs-is-considering(x),
cs-considering: CONSIDERING[v],
consensus-state3: consensus-state3(T),
assert: b,
uall: [x:A]. B[x],
all: x:A. B[x],
exists: x:A. B[x],
iff: P Q,
universe: Type,
equal: s = t
Definitions :
uall: [x:A]. B[x],
all: x:A. B[x],
consensus-state3: consensus-state3(T),
iff: P Q,
assert: b,
cs-is-considering: cs-is-considering(x),
exists: x:A. B[x],
cs-considering: CONSIDERING[v],
bfalse: ff,
isl: isl(x),
and: P 
Q,
implies: P Q,
rev_implies: P Q,
ifthenelse: if b then t else f fi ,
true: True,
false: False,
member: t 
T,
prop: 
,
outr: outr(x),
bnot: 
b,
btrue: tt,
uimplies: b supposing a
Lemmas :
assert_wf,
bfalse_wf,
isl_wf,
bool_wf,
outr_wf,
bnot_wf
\mforall{}[V:Type]. \mforall{}x:consensus-state3(V). (\muparrow{}cs-is-considering(x) \mLeftarrow{}{}\mRightarrow{} \mexists{}v:V. (x = CONSIDERING[v]))
Date html generated:
2011_08_16-AM-09_55_58
Last ObjectModification:
2011_06_18-AM-08_55_47
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