Nuprl Lemma : hdf-compose1_wf

[A,B,C:Type]. ∀[X:hdataflow(A;B)]. ∀[f:B ─→ C].  X ∈ hdataflow(A;C) supposing valueall-type(C)


Proof




Definitions occuring in Statement :  hdf-compose1: X hdataflow: hdataflow(A;B) valueall-type: valueall-type(T) uimplies: supposing a uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x] universe: Type
Lemmas :  mk-hdf_wf hdf-halted_wf hdf-ap_wf bag_wf valueall-type-has-valueall bag-valueall-type bag-map_wf evalall-reduce valueall-type_wf hdataflow_wf
\mforall{}[A,B,C:Type].  \mforall{}[X:hdataflow(A;B)].  \mforall{}[f:B  {}\mrightarrow{}  C].    f  o  X  \mmember{}  hdataflow(A;C)  supposing  valueall-type(C)



Date html generated: 2015_07_17-AM-08_05_25
Last ObjectModification: 2015_01_27-PM-00_15_51

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