Nuprl Lemma : simple-hdf-bind_wf
∀[A,B,C:Type]. ∀[X:hdataflow(A;B)]. ∀[Y:B ⟶ hdataflow(A;C)].
simple-hdf-bind(X;Y) ∈ hdataflow(A;C) supposing valueall-type(C)
Proof
Definitions occuring in Statement :
simple-hdf-bind: simple-hdf-bind(X;Y),
hdataflow: hdataflow(A;B),
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,
simple-hdf-bind: simple-hdf-bind(X;Y),
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[A,B,C:Type]. \mforall{}[X:hdataflow(A;B)]. \mforall{}[Y:B {}\mrightarrow{} hdataflow(A;C)].
simple-hdf-bind(X;Y) \mmember{} hdataflow(A;C) supposing valueall-type(C)
Date html generated:
2016_05_16-AM-10_43_38
Last ObjectModification:
2015_12_28-PM-07_41_23
Theory : halting!dataflow
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