Nuprl Lemma : OARcast_SenderState-program_wf

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


Proof




Definitions occuring in Statement :  OARcast_SenderState-program: OARcast_SenderState-program(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf) OARcast_SenderState: OARcast_SenderState(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) list: List vatype: ValueAllType uall: [x:A]. B[x] member: t ∈ T int: 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 int-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\_SenderState-program(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf)
      \mmember{}  LocalClass(OARcast\_SenderState(M;deliverhdr;oarcasthdr;orderedhdr;orderhdr;mf)))



Date html generated: 2015_07_23-PM-00_30_45
Last ObjectModification: 2015_02_04-PM-02_54_20

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