Nuprl Lemma : data-stream-append
∀[as1,as2:Top List]. ∀[P:Top]. (data-stream(P;as1 @ as2) ~ data-stream(P;as1) @ data-stream(P*(as1);as2))
Proof
Definitions occuring in Statement :
data-stream: data-stream(P;L),
iterate-dataflow: P*(inputs),
append: as @ bs,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
top_wf,
list_wf,
equal-wf-T-base,
nat_wf,
colength_wf_list,
list-cases,
list_ind_nil_lemma,
data_stream_nil_lemma,
iter_df_nil_lemma,
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,
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,
list_ind_cons_lemma,
iter_df_cons_lemma,
append_wf,
data-stream-cons
Latex:
\mforall{}[as1,as2:Top List]. \mforall{}[P:Top].
(data-stream(P;as1 @ as2) \msim{} data-stream(P;as1) @ data-stream(P*(as1);as2))
Date html generated:
2015_07_23-AM-11_06_07
Last ObjectModification:
2015_01_29-AM-00_11_43
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