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
Lemmas :
fpf-join_wf,
fpf-single_wf,
int-deq_wf,
Id_wf,
top_wf,
subtype_rel_sum,
int_seg_wf,
unit_wf2,
subtype_rel_product,
id-deq_wf,
consensus-event_wf,
fpf_wf,
list_wf
\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:
2015_07_17-AM-11_44_37
Last ObjectModification:
2015_01_28-AM-01_28_55
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