Nuprl Lemma : nysiad_MessageBag_wf

[M:ValueAllType]. ∀[add2baghdr,addwaitinghdr,adeliverhdr:Atom List]. ∀[deqM:EqDecider(M)].
[inputmsghdr,kdeliverhdr,readyhdr:Atom List]. ∀[senders:bag(Id)]. ∀[tooarcasthdr:Atom List].
[waitingmap:map-sig{i:l}(Id;M)].
[mf:nysiad_headers_type{i:l}(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr)].
[msg2m:Message(mf) ─→ M].
  (nysiad_MessageBag(M;add2baghdr;addwaitinghdr;adeliverhdr;deqM;inputmsghdr;kdeliverhdr;readyhdr;...;...;...;mf;msg2m)
   ∈ EClass(Interface))


Proof




Definitions occuring in Statement :  nysiad_MessageBag: nysiad_MessageBag(M;add2baghdr;addwaitinghdr;adeliverhdr;deqM;inputmsghdr;kdeliverhdr;readyhdr;senders;...;...;mf;msg2m) nysiad_headers_type: nysiad_headers_type{i:l}(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr) msg-interface: Interface Message: Message(f) eclass: EClass(A[eo; e]) Id: Id deq: EqDecider(T) list: List vatype: ValueAllType uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x] atom: Atom bag: bag(T) map-sig: map-sig{i:l}(Key;Value)
Lemmas :  sq_stable__and equal_wf vatype_wf unit_wf2 equal-wf-T-base sq_stable__equal squash_wf int_seg_wf length_wf name_wf nysiad_headers_wf l_all_iff l_member_wf nysiad_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 Message_wf subtype_rel_dep_function Id_wf eclass2_wf list_wf map-sig-map_wf msg-interface_wf eclass1_wf bag_wf nysiad_MessageBagInput_wf nysiad_on_input_message_bag_wf nysiad_MessageBagState_wf nysiad_headers_type_wf map-sig_wf deq_wf set_wf valueall-type_wf

Latex:
\mforall{}[M:ValueAllType].  \mforall{}[add2baghdr,addwaitinghdr,adeliverhdr:Atom  List].  \mforall{}[deqM:EqDecider(M)].
\mforall{}[inputmsghdr,kdeliverhdr,readyhdr:Atom  List].  \mforall{}[senders:bag(Id)].  \mforall{}[tooarcasthdr:Atom  List].
\mforall{}[waitingmap:map-sig\{i:l\}(Id;M)].
\mforall{}[...



Date html generated: 2015_07_23-PM-03_44_59
Last ObjectModification: 2015_02_04-PM-04_22_24

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