Nuprl Lemma : mk-hdf_wf
∀[A,B,S:Type]. ∀[s0:S]. ∀[H:S ─→ 𝔹]. ∀[G:S ─→ A ─→ (S × bag(B))]. (mk-hdf(s,m.G[s;m];s.H[s];s0) ∈ hdataflow(A;B))
Proof
Definitions occuring in Statement :
mk-hdf: mk-hdf(s,m.G[s; m];st.H[st];s0),
hdataflow: hdataflow(A;B),
bool: 𝔹,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type,
bag: bag(T)
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
primrec0_lemma,
decidable__le,
subtract_wf,
false_wf,
not-ge-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
bool_wf,
eqtt_to_assert,
primrec-unroll,
eq_int_wf,
assert_of_eq_int,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
it_wf,
primrec_wf,
not-le-2,
not-equal-2,
le_wf,
top_wf,
bag_wf,
unit_wf2,
int_seg_wf,
nat_wf
\mforall{}[A,B,S:Type]. \mforall{}[s0:S]. \mforall{}[H:S {}\mrightarrow{} \mBbbB{}]. \mforall{}[G:S {}\mrightarrow{} A {}\mrightarrow{} (S \mtimes{} bag(B))].
(mk-hdf(s,m.G[s;m];s.H[s];s0) \mmember{} hdataflow(A;B))
Date html generated:
2015_07_17-AM-08_05_14
Last ObjectModification:
2015_01_27-PM-00_16_53
Home
Index