Nuprl Lemma : bind-class-program-wf-hdf
∀[Info,A,B:Type].
∀[xpr:Id ⟶ hdataflow(Info;A)]. ∀[ypr:A ⟶ Id ⟶ hdataflow(Info;B)]. (xpr >>= ypr ∈ Id ⟶ hdataflow(Info;B))
supposing valueall-type(B)
Proof
Definitions occuring in Statement :
bind-class-program: xpr >>= 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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
bind-class-program: xpr >>= ypr
Latex:
\mforall{}[Info,A,B:Type].
\mforall{}[xpr:Id {}\mrightarrow{} hdataflow(Info;A)]. \mforall{}[ypr:A {}\mrightarrow{} Id {}\mrightarrow{} hdataflow(Info;B)].
(xpr >>= ypr \mmember{} Id {}\mrightarrow{} hdataflow(Info;B))
supposing valueall-type(B)
Date html generated:
2016_05_17-AM-09_06_51
Last ObjectModification:
2015_12_29-PM-03_36_08
Theory : local!classes
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