Nuprl Lemma : cs-events-to-state_wf
∀[V:Type]. ∀[A:Id List]. ∀[s:consensus-state6(V;A)].
(cs-events-to-state(A; s) ∈ ConsensusState × Knowledge(ConsensusState))
Proof
Definitions occuring in Statement :
cs-events-to-state: cs-events-to-state(A; s),
consensus-state6: consensus-state6(V;A),
consensus-state5: Knowledge(ConsensusState),
consensus-state4: ConsensusState,
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
consensus-state5: Knowledge(ConsensusState),
consensus-state4: ConsensusState,
consensus-state6: consensus-state6(V;A),
cs-events-to-state: cs-events-to-state(A; s),
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s],
implies: P ⇒ Q,
spreadn: spread3
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[s:consensus-state6(V;A)].
(cs-events-to-state(A; s) \mmember{} ConsensusState \mtimes{} Knowledge(ConsensusState))
Date html generated:
2016_05_16-PM-00_29_42
Last ObjectModification:
2015_12_29-PM-01_29_26
Theory : event-ordering
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