Nuprl Lemma : once-class-program_wf

[Info,B:Type]. ∀[X:EClass(B)]. ∀[pr:LocalClass(X)].  (once-class-program(pr) ∈ LocalClass((X once)))


Proof




Definitions occuring in Statement :  once-class-program: once-class-program(pr) once-class: (X once) local-class: LocalClass(X) eclass: EClass(A[eo; e]) uall: [x:A]. B[x] member: t ∈ T universe: Type
Lemmas :  es-le_wf event-ordering+_subtype es-E_wf es-loc_wf hdataflow_wf es-le-loc and_wf equal_wf Id_wf iterate-hdataflow_wf map_wf es-info_wf es-before_wf hdf-ap_wf bag_wf pi2_wf es-causl-swellfnd nat_properties less_than_transitivity1 less_than_irreflexivity ge_wf less_than_wf all_wf class-ap_wf int_seg_wf int_seg_subtype-nat decidable__le subtract_wf false_wf not-ge-2 less-iff-le condition-implies-le minus-one-mul zero-add minus-add minus-minus add-associates add-swap add-commutes add_functionality_wrt_le add-zero le-add-cancel decidable__equal_int subtype_rel-int_seg le_weakening int_seg_properties le_wf nat_wf zero-le-nat lelt_wf es-causl_wf decidable__lt not-equal-2 le-add-cancel-alt not-le-2 sq_stable__le add-mul-special zero-mul es-first_wf2 bool_wf eqtt_to_assert map_nil_lemma iter_hdf_nil_lemma hdf-once_wf uiff_transitivity equal-wf-T-base assert_wf bnot_wf not_wf eqff_to_assert assert_of_bnot es-pred_wf subtype_rel_list top_wf map_cons_lemma iter_hdf_cons_lemma map_append_sq iterate-hdf-append es-pred-locl es-causl_weakening es-locl_transitivity1 es-le_weakening iff_weakening_equal es-local-pred_wf lt_int_wf bag-size_wf or_wf sq_exists_wf es-locl_wf bag_null_empty_lemma assert_of_lt_int hdf_ap_halt_lemma hdf-halt_wf bool_cases_sqequal subtype_base_sq bool_subtype_base assert-bnot hdataflow-ext unit_wf2 hdf-run_wf squash_wf true_wf bag-null_wf null-bag-size iff_imp_equal_bool eq_int_wf iff_wf iff_transitivity iff_weakening_uiff assert_of_eq_int assert-bag-null isl_wf once-class_wf class-pred_wf es-interface-subtype_rel2 event-ordering+_wf empty-bag_wf

Latex:
\mforall{}[Info,B:Type].  \mforall{}[X:EClass(B)].  \mforall{}[pr:LocalClass(X)].
    (once-class-program(pr)  \mmember{}  LocalClass((X  once)))



Date html generated: 2015_07_22-PM-00_02_07
Last ObjectModification: 2015_02_04-PM-05_13_08

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