Nuprl Lemma : iterate-stateless-dataflow
∀[L:Top List]. ∀[f:Top ─→ Top]. (stateless-dataflow(m.f[m])*(L) ~ stateless-dataflow(m.f[m]))
Proof
Definitions occuring in Statement :
iterate-dataflow: P*(inputs),
stateless-dataflow: stateless-dataflow(m.f[m]),
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
function: x:A ─→ B[x],
sqequal: s ~ t
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
top_wf,
equal-wf-T-base,
nat_wf,
colength_wf_list,
list_wf,
list-cases,
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,
iter_df_cons_lemma,
stateless_dataflow_ap_lemma
Latex:
\mforall{}[L:Top List]. \mforall{}[f:Top {}\mrightarrow{} Top]. (stateless-dataflow(m.f[m])*(L) \msim{} stateless-dataflow(m.f[m]))
Date html generated:
2015_07_23-AM-11_06_20
Last ObjectModification:
2015_01_29-AM-00_11_28
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