Nuprl Lemma : consensus-accum_wf
∀[V:Type]. ∀[A:Id List]. ∀[s:ℤ × j:ℤ fp-> V × b:Id fp-> ℤ × (ℤ × V + Top)]. ∀[e:consensus-event(V;A)].
(consensus-accum(s;e) ∈ ℤ × j:ℤ fp-> V × b:Id fp-> ℤ × (ℤ × V + Top))
Proof
Definitions occuring in Statement :
consensus-accum: consensus-accum(s;e),
consensus-event: consensus-event(V;A),
fpf: a:A fp-> B[a],
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
product: x:A × B[x],
union: left + right,
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
consensus-accum: consensus-accum(s;e),
spreadn: spread3,
consensus-event: consensus-event(V;A),
so_lambda: λ2x.t[x],
so_apply: x[s],
nat: ℕ,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
int_seg: {i..j-},
all: ∀x:A. B[x],
top: Top
Latex:
\mforall{}[V:Type]. \mforall{}[A:Id List]. \mforall{}[s:\mBbbZ{} \mtimes{} j:\mBbbZ{} fp-> V \mtimes{} b:Id fp-> \mBbbZ{} \mtimes{} (\mBbbZ{} \mtimes{} V + Top)].
\mforall{}[e:consensus-event(V;A)].
(consensus-accum(s;e) \mmember{} \mBbbZ{} \mtimes{} j:\mBbbZ{} fp-> V \mtimes{} b:Id fp-> \mBbbZ{} \mtimes{} (\mBbbZ{} \mtimes{} V + Top))
Date html generated:
2016_05_16-PM-00_28_47
Last ObjectModification:
2015_12_29-PM-01_29_08
Theory : event-ordering
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