Nuprl Lemma : hdf-comb3_wf
∀[A,C,B1,B2,B3:Type]. ∀[f:B1 ─→ B2 ─→ B3 ─→ bag(C)]. ∀[X:hdataflow(A;B1)]. ∀[Y:hdataflow(A;B2)]. ∀[Z:hdataflow(A;B3)].
hdf-comb3(f;X;Y;Z) ∈ hdataflow(A;C) supposing ((↓B2) ∧ (↓B3)) ∧ valueall-type(C)
Proof
Definitions occuring in Statement :
hdf-comb3: hdf-comb3(f;X;Y;Z),
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-compose3_wf,
bag_wf,
hdf-compose1_wf,
function-valueall-type,
function-value-type,
bag-value-type,
squash_wf,
valueall-type_wf,
hdataflow_wf
\mforall{}[A,C,B1,B2,B3:Type]. \mforall{}[f:B1 {}\mrightarrow{} B2 {}\mrightarrow{} B3 {}\mrightarrow{} bag(C)]. \mforall{}[X:hdataflow(A;B1)]. \mforall{}[Y:hdataflow(A;B2)].
\mforall{}[Z:hdataflow(A;B3)].
hdf-comb3(f;X;Y;Z) \mmember{} hdataflow(A;C) supposing ((\mdownarrow{}B2) \mwedge{} (\mdownarrow{}B3)) \mwedge{} valueall-type(C)
Date html generated:
2015_07_17-AM-08_06_03
Last ObjectModification:
2015_01_27-PM-00_15_30
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