{ 
[V:Type]
((
v,v':V. (
(v = v')))
(v,v':V. Dec(v = v'))
(A:Id List. W:{a:Id| (a 
A)} List List.
...)) }
{ Proof }
Definitions occuring in Statement :
one-intersection: one-intersection(A;W),
cs-inning-committable: in state s, inning i could commit v ,
cs-not-completed: in state s, a has not completed inning i,
consensus-state4: ConsensusState,
Id: Id,
decidable: Dec(P),
uall: [x:A]. B[x],
all: x:A. B[x],
exists: x:A. B[x],
iff: P 
Q,
not: A,
implies: P Q,
or: P 
Q,
set: {x:A| B[x]} ,
list: type List,
int: 
,
universe: Type,
equal: s = t,
l_exists: (xL. P[x]),
l_member: (x l)
Definitions :
uall: [x:A]. B[x],
implies: P Q,
exists: x:A. B[x],
all: x:A. B[x],
or: P Q,
member: t T,
prop: 
,
so_lambda: 
x.t[x],
iff: P Q,
and: P 
Q,
rev_implies: P Q,
l_exists: (xL. P[x]),
cand: A c B,
guard: {T},
so_apply: x[s]
Lemmas :
cs-inning-committable-some2,
iff_wf,
cs-inning-committable_wf,
l_exists_wf,
l_member_wf,
Id_wf,
cs-not-completed_wf,
consensus-state4_wf,
one-intersection_wf,
decidable_wf,
not_wf
\mforall{}[V:Type]
((\mexists{}v,v':V. (\mneg{}(v = v')))
{}\mRightarrow{} (\mforall{}v,v':V. Dec(v = v'))
{}\mRightarrow{} (\mforall{}A:Id List. \mforall{}W:\{a:Id| (a \mmember{} A)\} List List.
(one-intersection(A;W)
{}\mRightarrow{} (\mforall{}s:ConsensusState. \mforall{}i:\mBbbZ{}.
\mexists{}L:V List
(\mexists{}v:V. in state s, inning i could commit v
\mLeftarrow{}{}\mRightarrow{} (\mexists{}v\mmember{}L. in state s, inning i could commit v )
\mvee{} (\mexists{}ws\mmember{}W. \mforall{}a:\{a:Id| (a \mmember{} A)\}
((a \mmember{} ws) {}\mRightarrow{} in state s, a has not completed inning i)))))))
Date html generated:
2011_08_16-AM-10_01_59
Last ObjectModification:
2011_06_18-AM-09_00_23
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