Nuprl Lemma : Accum-class-top
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[f:Top]. ∀[X:EClass(A)]. ∀[init:Id ─→ bag(Top)].
(Accum-class(f;init;X) ∈ EClass(Top))
Proof
Definitions occuring in Statement :
Accum-class: Accum-class(f;init;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
rec-comb_wf,
false_wf,
le_wf,
int_seg_wf,
select_wf,
cons_wf,
nil_wf,
sq_stable__le,
length_wf,
length_nil,
non_neg_length,
length_wf_nil,
length_cons,
length_wf_nat,
bag-combine_wf,
lelt_wf,
single-bag_wf,
bag_wf,
Id_wf,
top_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:Top]. \mforall{}[X:EClass(A)]. \mforall{}[init:Id {}\mrightarrow{} bag(Top)].
(Accum-class(f;init;X) \mmember{} EClass(Top))
Date html generated:
2015_07_22-PM-00_11_21
Last ObjectModification:
2015_01_28-AM-11_40_59
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