{ 
[V:Type]. [A:Id List]. [W:{a:Id| (a 
A)} List List].
[x1,y1:ConsensusState]. [x2,y2:Knowledge(ConsensusState)]. [a:{a:Id|
(a A)} ].
(consensus-rel-knowledge-step(V;A;W;x1;x2;y1;y2;a) 
) }
{ Proof }
Definitions occuring in Statement :
consensus-rel-knowledge-step: consensus-rel-knowledge-step(V;A;W;x1;x2;y1;y2;a),
consensus-state5: Knowledge(ConsensusState),
consensus-state4: ConsensusState,
Id: Id,
uall: [x:A]. B[x],
prop: ,
member: t T,
set: {x:A| B[x]} ,
list: type List,
universe: Type,
l_member: (x l)
Definitions :
consensus-rel-add-knowledge-step: consensus-rel-add-knowledge-step(V;A;W;x1;x2;y1;y2;a),
consensus-rel-knowledge-archive-step: consensus-rel-knowledge-archive-step(V;A;W;x1;x2;y1;y2;a),
consensus-rel-knowledge-inning-step: consensus-rel-knowledge-inning-step(V;A;W;x1;x2;y1;y2;a),
or: P 
Q,
cs-knowledge: Knowledge(x;a),
top: Top,
union: left + right,
cs-estimate: Estimate(s;a),
lambda: 
x.A[x],
so_lambda: 
x.t[x],
fpf: a:A fp-> B[a],
cs-inning: Inning(s;a),
int: 
,
limited-type: LimitedType,
not: 
A,
implies: P 
Q,
product: x:A 
B[x],
and: P 
Q,
function: x:A 
B[x],
all: x:A. B[x],
axiom: Ax,
consensus-rel-knowledge-step: consensus-rel-knowledge-step(V;A;W;x1;x2;y1;y2;a),
prop: ,
consensus-state5: Knowledge(ConsensusState),
universe: Type,
equal: s = t,
set: {x:A| B[x]} ,
l_member: (x l),
Id: Id,
list: type List,
uall: [x:A]. B[x],
isect: 
x:A. B[x],
member: t T,
consensus-state4: ConsensusState
Lemmas :
consensus-state5_wf,
consensus-state4_wf,
not_wf,
cs-inning_wf,
cs-estimate_wf,
fpf_wf,
top_wf,
cs-knowledge_wf,
consensus-rel-knowledge-inning-step_wf,
Id_wf,
l_member_wf,
consensus-rel-knowledge-archive-step_wf,
consensus-rel-add-knowledge-step_wf
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List]. \mforall{}[x1,y1:ConsensusState].
\mforall{}[x2,y2:Knowledge(ConsensusState)]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ].
(consensus-rel-knowledge-step(V;A;W;x1;x2;y1;y2;a) \mmember{} \mBbbP{})
Date html generated:
2011_08_16-AM-10_07_58
Last ObjectModification:
2011_06_18-AM-09_01_51
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