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)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
hdf-parallel-bag: hdf-parallel-bag(Xs),
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
has-value: (a)↓,
callbyvalueall: callbyvalueall,
has-valueall: has-valueall(a),
pi1: fst(t),
pi2: snd(t),
so_apply: x[s1;s2]
Latex:
\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:
2016_05_16-AM-10_41_55
Last ObjectModification:
2015_12_28-PM-07_43_41
Theory : halting!dataflow
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