Nuprl Lemma : consensus-rel-knowledge_wf
∀[V:Type]. ∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)} List List]. ∀[x,y:ConsensusState × Knowledge(ConsensusState)].
(consensus-rel-knowledge(V;A;W;x;y) ∈ ℙ)
Proof
Definitions occuring in Statement :
consensus-rel-knowledge: consensus-rel-knowledge(V;A;W;x;y),
consensus-state5: Knowledge(ConsensusState),
consensus-state4: ConsensusState,
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
consensus-rel-knowledge: consensus-rel-knowledge(V;A;W;x;y),
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ,
so_lambda: λ2x.t[x],
all: ∀x:A. B[x],
pi1: fst(t),
pi2: snd(t),
so_apply: x[s]
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List].
\mforall{}[x,y:ConsensusState \mtimes{} Knowledge(ConsensusState)].
(consensus-rel-knowledge(V;A;W;x;y) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-00_22_16
Last ObjectModification:
2015_12_29-PM-01_27_24
Theory : event-ordering
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