Nuprl Lemma : OARcast_OrdererState-program_wf

∀[M:ValueAllType]. ∀[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom List].
∀[mf:OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
  (OARcast_OrdererState-program(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf)
   ∈ LocalClass(OARcast_OrdererState(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf)))


Proof




Definitions occuring in Statement :  OARcast_OrdererState-program: OARcast_OrdererState-program(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf),  OARcast_OrdererState: OARcast_OrdererState(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf),  OARcast_headers_type: OARcast_headers_type{i:l}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr),  Message: Message(f),  local-class: LocalClass(X),  Id: Id,  list: T List,  vatype: ValueAllType,  uall: ∀[x:A]. B[x],  member: t ∈ T,  atom: Atom
Lemmas :  sq_stable__and,  equal_wf,  vatype_wf,  Id_wf,  sq_stable__equal,  squash_wf,  int_seg_wf,  length_wf,  name_wf,  OARcast_headers_wf,  l_all_iff,  l_member_wf,  OARcast_headers_fun_wf,  cons_member,  cons_wf,  nil_wf,  equal-wf-base,  list_subtype_base,  atom_subtype_base,  iff_weakening_equal,  name_eq_wf,  bool_wf,  eqtt_to_assert,  assert-name_eq,  sq_stable__no_repeats,  true_wf,  eqff_to_assert,  bool_cases_sqequal,  subtype_base_sq,  bool_subtype_base,  assert-bnot,  subtype_rel_dep_function,  state-class1-program_wf,  list-valueall-type,  Id-valueall-type,  OARcast_headers_type_wf,  list_wf,  set_wf,  valueall-type_wf

Latex:
\mforall{}[M:ValueAllType].  \mforall{}[deliverhdr,oarcasthdr,orderedhdr,orderhdr:Atom  List].
\mforall{}[mf:OARcast\_headers\_type\{i:l\}(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr)].
    (OARcast\_OrdererState-program(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf)
      \mmember{}  LocalClass(OARcast\_OrdererState(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf)))



Date html generated: 2015_07_23-PM-00_32_20
Last ObjectModification: 2015_02_04-PM-04_30_50

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