Nuprl Lemma : hdf-prior_wf

∀[A,B:Type]. ∀[X:hdataflow(A;B)]. ∀[b:bag(B)].  hdf-prior(X;b) ∈ hdataflow(A;B) supposing (↓B) ∧ valueall-type(B)


Proof




Definitions occuring in Statement :  hdf-prior: hdf-prior(X;b),  hdataflow: hdataflow(A;B),  valueall-type: valueall-type(T),  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  squash: ↓T,  and: P ∧ Q,  member: t ∈ T,  universe: Type,  bag: bag(T)
Lemmas :  hdf-buffer_wf,  hdf-compose1_wf,  single-bag_wf,  function-valueall-type,  bag-value-type,  squash_wf,  valueall-type_wf,  bag_wf,  hdataflow_wf
\mforall{}[A,B:Type].  \mforall{}[X:hdataflow(A;B)].  \mforall{}[b:bag(B)].
    hdf-prior(X;b)  \mmember{}  hdataflow(A;B)  supposing  (\mdownarrow{}B)  \mwedge{}  valueall-type(B)



Date html generated: 2015_07_17-AM-08_06_15
Last ObjectModification: 2015_01_27-PM-00_15_29

Home Index