Nuprl Lemma : consensus-ts5_wf
∀[V:Type]. ∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)} List List]. (consensus-ts5(V;A;W) ∈ transition-system{i:l})
Proof
Definitions occuring in Statement :
consensus-ts5: consensus-ts5(V;A;W),
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type,
transition-system: transition-system{i:l}
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
consensus-ts5: consensus-ts5(V;A;W),
transition-system: transition-system{i:l},
bfalse: ff,
prop: ℙ,
infix_ap: x f y,
subtype_rel: A ⊆r B,
consensus-state4: ConsensusState,
so_lambda: λ2x.t[x],
so_apply: x[s],
consensus-state5: Knowledge(ConsensusState),
top: Top,
all: ∀x:A. B[x],
and: P ∧ Q,
pi1: fst(t),
pi2: snd(t)
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List].
(consensus-ts5(V;A;W) \mmember{} transition-system\{i:l\})
Date html generated:
2016_05_16-PM-00_22_40
Last ObjectModification:
2016_01_17-PM-03_55_25
Theory : event-ordering
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