{ 
[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-add-knowledge-step(V;A;W;x1;x2;y1;y2;a) 
) }
{ Proof }
Definitions occuring in Statement :
consensus-rel-add-knowledge-step: consensus-rel-add-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 :
uall: [x:A]. B[x],
consensus-state4: ConsensusState,
member: t T,
prop: ,
consensus-rel-add-knowledge-step: consensus-rel-add-knowledge-step(V;A;W;x1;x2;y1;y2;a),
and: P 
Q,
exists: 
x:A. B[x],
or: P 
Q,
all: x:A. B[x],
implies: P 
Q,
top: Top,
cand: A c B,
so_lambda: 
x.t[x],
true: True,
so_apply: x[s],
uimplies: b supposing a,
uiff: uiff(P;Q)
Lemmas :
cs-inning_wf,
fpf_wf,
cs-estimate_wf,
Id_wf,
l_member_wf,
le_wf,
not_wf,
assert_wf,
fpf-dom_wf,
subtype_rel_function,
top_wf,
subtype_rel_self,
subtype_rel_simple_product,
subtype-fpf2,
subtype-top,
cs-knowledge_wf,
fpf-join_wf,
fpf-single_wf,
id-deq_wf,
fpf-ap_wf,
int-deq_wf,
consensus-state5_wf,
consensus-state4_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-add-knowledge-step(V;A;W;x1;x2;y1;y2;a) \mmember{} \mBbbP{})
Date html generated:
2011_08_16-AM-10_07_52
Last ObjectModification:
2011_06_18-AM-09_01_47
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