Nuprl Lemma : hdf-memory_wf

[A,B:Type]. ∀[X:hdataflow(A;B ─→ B)]. ∀[bs:bag(B)].  hdf-memory(X;bs) ∈ hdataflow(A;B) supposing valueall-type(B)


Proof




Definitions occuring in Statement :  hdf-memory: hdf-memory(X;bs) 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 bag: bag(T)
Lemmas :  valueall-type_wf bag_wf hdataflow_wf bfalse_wf hdf-ap_wf valueall-type-has-valueall bag-valueall-type bag-combine_wf bag-map_wf evalall-reduce bag-null_wf bool_wf eqtt_to_assert assert-bag-null eqff_to_assert equal_wf bool_cases_sqequal subtype_base_sq bool_subtype_base assert-bnot equal-wf-T-base mk-hdf_wf
\mforall{}[A,B:Type].  \mforall{}[X:hdataflow(A;B  {}\mrightarrow{}  B)].  \mforall{}[bs:bag(B)].
    hdf-memory(X;bs)  \mmember{}  hdataflow(A;B)  supposing  valueall-type(B)



Date html generated: 2015_07_17-AM-08_05_59
Last ObjectModification: 2015_01_27-PM-00_16_15

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