Nuprl Lemma : hdf-state1-single-val_wf
∀[A,B,C:Type]. ∀[f:B ─→ C ─→ C]. ∀[X:hdataflow(A;B)]. ∀[b:C].
(hdf-state1-single-val(f;X;b) ∈ hdataflow(A;C)) supposing (hdf-single-valued(X;A;B) and valueall-type(C))
Proof
Definitions occuring in Statement :
hdf-state1-single-val: hdf-state1-single-val(f;X;b),
hdf-single-valued: hdf-single-valued(X;A;B),
hdataflow: hdataflow(A;B),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
hdf-single-valued_wf,
valueall-type_wf,
hdataflow_wf,
bfalse_wf,
hdataflow-ext,
bag_wf,
unit_wf2,
bag_null_empty_lemma,
mk-hdf_wf,
nil_wf,
bag-null_wf,
bool_wf,
eqtt_to_assert,
assert-bag-null,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
equal-wf-T-base,
single-valued-bag_wf,
hdf-run_wf,
valueall-type-has-valueall,
evalall-reduce,
and_wf,
pi1_wf_top,
subtype_rel_product,
top_wf,
subtype_top,
cons_wf,
iter_hdf_cons_lemma,
list_wf,
single-bag_wf,
decidable__lt,
bag-size_wf,
nat_wf,
bag-size-is-zero,
empty-bag_wf,
sv-bag-only_wf,
hdf-halt_wf
\mforall{}[A,B,C:Type]. \mforall{}[f:B {}\mrightarrow{} C {}\mrightarrow{} C]. \mforall{}[X:hdataflow(A;B)]. \mforall{}[b:C].
(hdf-state1-single-val(f;X;b) \mmember{} hdataflow(A;C)) supposing
(hdf-single-valued(X;A;B) and
valueall-type(C))
Date html generated:
2015_07_17-AM-08_05_57
Last ObjectModification:
2015_01_27-PM-00_16_56
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