Nuprl Lemma : hdf-base-ap
∀[A,B:Type]. ∀[F:A ─→ bag(B)]. ∀[a:A]. (hdf-base(m.F[m])(a) = <hdf-base(m.F[m]), F[a]> ∈ (hdataflow(A;B) × bag(B)))
Proof
Definitions occuring in Statement :
hdf-base: hdf-base(m.F[m]),
hdf-ap: X(a),
hdataflow: hdataflow(A;B),
uall: ∀[x:A]. B[x],
so_apply: x[s],
function: x:A ─→ B[x],
pair: <a, b>,
product: x:A × B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Lemmas :
hdf-ap-run,
hdf-base_wf,
bag_wf
\mforall{}[A,B:Type]. \mforall{}[F:A {}\mrightarrow{} bag(B)]. \mforall{}[a:A]. (hdf-base(m.F[m])(a) = <hdf-base(m.F[m]), F[a]>)
Date html generated:
2015_07_17-AM-08_05_16
Last ObjectModification:
2015_01_27-PM-00_15_58
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