Nuprl Lemma : data-stream_wf
∀[A,B:Type]. ∀[L:A List]. ∀[P:dataflow(A;B)]. (data-stream(P;L) ∈ B List)
Proof
Definitions occuring in Statement :
data-stream: data-stream(P;L),
dataflow: dataflow(A;B),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
dataflow_wf,
equal-wf-T-base,
colength_wf_list,
list-cases,
nil_wf,
product_subtype_list,
spread_cons_lemma,
sq_stable__le,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-associates,
add-zero,
zero-add,
le-add-cancel,
nat_wf,
decidable__le,
false_wf,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
add-commutes,
le_wf,
subtract_wf,
not-ge-2,
less-iff-le,
minus-minus,
add-swap,
subtype_base_sq,
set_subtype_base,
int_subtype_base,
length_of_cons_lemma,
map_wf,
int_seg_wf,
length_wf,
dataflow-ap_wf,
iterate-dataflow_wf,
firstn_wf,
cons_wf,
select_wf,
length_cons,
non_neg_length,
length_wf_nat,
upto_wf,
list_wf
Latex:
\mforall{}[A,B:Type]. \mforall{}[L:A List]. \mforall{}[P:dataflow(A;B)]. (data-stream(P;L) \mmember{} B List)
Date html generated:
2015_07_23-AM-11_05_56
Last ObjectModification:
2015_01_29-AM-00_11_48
Home
Index