Nuprl Lemma : hdf-parallel-bag_wf
∀[A,B:Type]. ∀[Xs:bag(hdataflow(A;B))]. hdf-parallel-bag(Xs) ∈ hdataflow(A;B) supposing valueall-type(B)
Proof
Definitions occuring in Statement :
hdf-parallel-bag: hdf-parallel-bag(Xs),
hdataflow: hdataflow(A;B),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type,
bag: bag(T)
Lemmas :
mk-hdf_wf,
bag_all_wf,
hdf-halted_wf,
value-type-has-value,
bag_wf,
bag-value-type,
bag-map_wf,
hdf-ap_wf,
valueall-type-has-valueall,
bag-valueall-type,
bag-combine_wf,
evalall-reduce,
valueall-type_wf,
hdataflow_wf
\mforall{}[A,B:Type]. \mforall{}[Xs:bag(hdataflow(A;B))].
hdf-parallel-bag(Xs) \mmember{} hdataflow(A;B) supposing valueall-type(B)
Date html generated:
2015_07_17-AM-08_06_25
Last ObjectModification:
2015_01_27-PM-00_15_26
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