Nuprl Lemma : hdf-compose3_wf
∀[A,B,C:Type]. ∀[X:hdataflow(A;B ─→ C)]. ∀[Y:hdataflow(A;B)]. X o Y ∈ hdataflow(A;C) supposing valueall-type(C)
Proof
Definitions occuring in Statement :
hdf-compose3: X o Y,
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 :
mk-hdf_wf,
bor_wf,
hdf-halted_wf,
hdf-ap_wf,
bag_wf,
valueall-type-has-valueall,
bag-valueall-type,
bag-combine_wf,
bag-map_wf,
evalall-reduce,
valueall-type_wf,
hdataflow_wf
\mforall{}[A,B,C:Type]. \mforall{}[X:hdataflow(A;B {}\mrightarrow{} C)]. \mforall{}[Y:hdataflow(A;B)].
X o Y \mmember{} hdataflow(A;C) supposing valueall-type(C)
Date html generated:
2015_07_17-AM-08_05_30
Last ObjectModification:
2015_01_27-PM-00_15_42
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