Nuprl Lemma : hdf-union_wf
∀[A,B,C:Type]. ∀[X:hdataflow(A;B)]. ∀[Y:hdataflow(A;C)].
(X + Y ∈ hdataflow(A;B + C)) supposing (valueall-type(B) and valueall-type(C))
Proof
Definitions occuring in Statement :
hdf-union: X + Y,
hdataflow: hdataflow(A;B),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
union: left + right,
universe: Type
Lemmas :
valueall-type_wf,
hdataflow_wf,
hdf-halted_wf,
bool_wf,
eqtt_to_assert,
mk-hdf_wf,
hdf-ap_wf,
bag_wf,
bag-append_wf,
bag-map_wf,
evalall-reduce,
bag-valueall-type,
union-valueall-type,
valueall-type-has-valueall
\mforall{}[A,B,C:Type]. \mforall{}[X:hdataflow(A;B)]. \mforall{}[Y:hdataflow(A;C)].
(X + Y \mmember{} hdataflow(A;B + C)) supposing (valueall-type(B) and valueall-type(C))
Date html generated:
2015_07_17-AM-08_06_32
Last ObjectModification:
2015_01_27-PM-00_17_03
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