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,
hdataflow: hdataflow(A;B),
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)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
eclass2-program: Xpr o Ypr
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:
2016_05_17-AM-09_04_51
Last ObjectModification:
2015_12_29-PM-03_36_44
Theory : local!classes
Home
Index