Nuprl Lemma : cs-knowledge_wf
∀[V:Type]. ∀[A:Id List]. ∀[a:{a:Id| (a ∈ A)} ]. ∀[x:Knowledge(ConsensusState)].
(Knowledge(x;a) ∈ b:Id fp-> ℤ × (ℤ × V + Top))
Proof
Definitions occuring in Statement :
cs-knowledge: Knowledge(x;a),
consensus-state5: Knowledge(ConsensusState),
fpf: a:A fp-> B[a],
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
set: {x:A| B[x]} ,
product: x:A × B[x],
union: left + right,
int: ℤ,
universe: Type
Lemmas :
Id_wf,
l_member_wf,
fpf_wf,
top_wf,
set_wf,
list_wf
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[a:\{a:Id| (a \mmember{} A)\} ]. \mforall{}[x:Knowledge(ConsensusState)].
(Knowledge(x;a) \mmember{} b:Id fp-> \mBbbZ{} \mtimes{} (\mBbbZ{} \mtimes{} V + Top))
Date html generated:
2015_07_17-AM-11_40_16
Last ObjectModification:
2015_01_28-AM-01_30_57
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