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
Definitions unfolded in proof :
cs-knowledge: Knowledge(x;a),
consensus-state5: Knowledge(ConsensusState),
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\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:
2016_05_16-PM-00_20_49
Last ObjectModification:
2015_12_29-PM-01_26_08
Theory : event-ordering
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