Nuprl Lemma : hdf-compose0-bag_wf
∀[A,B,C:Type]. ∀[f:bag(B) ─→ bag(C)]. ∀[X:hdataflow(A;B)].
hdf-compose0-bag(f;X) ∈ hdataflow(A;C) supposing valueall-type(C)
Proof
Definitions occuring in Statement :
hdf-compose0-bag: hdf-compose0-bag(f;X),
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,
bag: bag(T)
Lemmas :
mk-hdf_wf,
hdf-halted_wf,
hdf-ap_wf,
valueall-type-has-valueall,
bag_wf,
bag-valueall-type,
evalall-reduce,
valueall-type_wf,
hdataflow_wf
\mforall{}[A,B,C:Type]. \mforall{}[f:bag(B) {}\mrightarrow{} bag(C)]. \mforall{}[X:hdataflow(A;B)].
hdf-compose0-bag(f;X) \mmember{} hdataflow(A;C) supposing valueall-type(C)
Date html generated:
2015_07_17-AM-08_05_32
Last ObjectModification:
2015_01_27-PM-00_15_41
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