Nuprl Lemma : eclass2-program-wf-hdf
∀[Info,B,C:Type].
∀[Xpr:Id ─→ hdataflow(Info;B ─→ bag(C))]. ∀[Ypr:Id ─→ hdataflow(Info;B)]. (Xpr o Ypr ∈ Id ─→ hdataflow(Info;C))
supposing valueall-type(C)
Proof
Definitions occuring in Statement :
eclass2-program: Xpr o Ypr,
Id: Id,
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),
hdataflow: hdataflow(A;B)
Lemmas :
hdf-compose2_wf,
Id_wf,
hdataflow_wf,
bag_wf,
valueall-type_wf
Latex:
\mforall{}[Info,B,C:Type].
\mforall{}[Xpr:Id {}\mrightarrow{} hdataflow(Info;B {}\mrightarrow{} bag(C))]. \mforall{}[Ypr:Id {}\mrightarrow{} hdataflow(Info;B)].
(Xpr o Ypr \mmember{} Id {}\mrightarrow{} hdataflow(Info;C))
supposing valueall-type(C)
Date html generated:
2015_07_22-PM-00_01_48
Last ObjectModification:
2015_01_28-AM-09_53_44
Home
Index