Nuprl Lemma : hdf-comb2_wf
∀[A,B,C,D:Type]. ∀[X:hdataflow(A;B)]. ∀[Y:hdataflow(A;C)]. ∀[f:B ─→ C ─→ bag(D)].
hdf-comb2(f;X;Y) ∈ hdataflow(A;D) supposing (↓C) ∧ valueall-type(D)
Proof
Definitions occuring in Statement :
hdf-comb2: hdf-comb2(f;X;Y),
hdataflow: hdataflow(A;B),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
squash: ↓T,
and: P ∧ Q,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
hdf-compose2_wf,
hdf-compose1_wf,
bag_wf,
function-valueall-type,
bag-value-type,
squash_wf,
valueall-type_wf,
hdataflow_wf
\mforall{}[A,B,C,D:Type]. \mforall{}[X:hdataflow(A;B)]. \mforall{}[Y:hdataflow(A;C)]. \mforall{}[f:B {}\mrightarrow{} C {}\mrightarrow{} bag(D)].
hdf-comb2(f;X;Y) \mmember{} hdataflow(A;D) supposing (\mdownarrow{}C) \mwedge{} valueall-type(D)
Date html generated:
2015_07_17-AM-08_06_01
Last ObjectModification:
2015_01_27-PM-00_15_24
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