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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