Nuprl Lemma : hdf-at-locs_wf
∀[A,B:Type]. ∀[pr:Id ⟶ hdataflow(A;B)]. ∀[i:Id]. ∀[locs:bag(Id)]. (hdf-at-locs(pr;i;locs) ∈ hdataflow(A;B))
Proof
Definitions occuring in Statement :
hdf-at-locs: hdf-at-locs(pr;i;locs),
hdataflow: hdataflow(A;B),
Id: Id,
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,
hdf-at-locs: hdf-at-locs(pr;i;locs),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
bfalse: ff,
iff: P ⇐⇒ Q,
not: ¬A,
prop: ℙ,
rev_implies: P ⇐ Q,
false: False
Latex:
\mforall{}[A,B:Type]. \mforall{}[pr:Id {}\mrightarrow{} hdataflow(A;B)]. \mforall{}[i:Id]. \mforall{}[locs:bag(Id)].
(hdf-at-locs(pr;i;locs) \mmember{} hdataflow(A;B))
Date html generated:
2016_05_16-AM-10_39_13
Last ObjectModification:
2015_12_28-PM-07_44_17
Theory : halting!dataflow
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