Nuprl Lemma : fresh-sig-protocol1_property

∀[s:SES]
  (∀[bss:Basic1 List]. UniqueSignatures(bss) supposing FreshSignatures(bss)) supposing 
     (PropertyS and 
     PropertyO and 
     ActionsDisjoint)


Proof




Definitions occuring in Statement :  unique-sig-protocol: UniqueSignatures(bss),  fresh-sig-protocol1: FreshSignatures(bss),  ses-basic-sequence1: Basic1,  ses-disjoint: ActionsDisjoint,  ses-S: PropertyS,  ses-ordering: PropertyO,  security-event-structure: SES,  list: T List,  uimplies: b supposing a,  uall: ∀[x:A]. B[x]
Lemmas :  assert_elim,  in-eclass_wf,  subtype_base_sq,  bool_wf,  bool_subtype_base,  assert_wf,  ses-verify_wf,  es-interface-subtype_rel2,  es-E_wf,  event-ordering+_subtype,  top_wf,  subtype_top,  sdata_wf,  ses-decrypt_wf,  encryption-key_wf,  ses-encrypt_wf,  ses-rcv_wf,  ses-send_wf,  ses-new_wf,  ses-action_wf,  es-E-interface_wf,  ses-sign_wf,  ses-thread-member_wf,  equal_wf,  ses-sig_wf,  ses-protocol1-thread_wf,  ses-thread_wf,  event-ordering+_wf,  ses-info_wf,  ses-protocol1_wf,  ses-honest_wf,  Id_wf,  fresh-sig-protocol1_wf,  list_wf,  ses-basic-sequence1_wf,  ses-S_wf,  ses-ordering_wf,  ses-disjoint_wf,  security-event-structure_wf,  ses-signature-unique2,  and_wf,  ses-signer_wf,  squash_wf,  true_wf,  sq_stable__assert,  iff_weakening_equal,  es-causle_antisymmetry,  ses-sign-has-atom,  l_member_wf,  sdata-atoms_wf,  class-value-has_wf,  or_wf,  es-le_wf,  exists_wf,  es-locl_wf,  es-causl_wf,  event-has*_wf,  es-causle_weakening_locl,  es-causl_transitivity2,  es-causl_weakening,  es-causle_weakening,  pi1_wf_top,  pi2_wf,  subtype_rel_product,  ses-nonce-unique,  ses-nonce-from-ordering,  select_wf,  ses-act_wf,  sq_stable__le,  less_than_transitivity2,  length_wf,  le_weakening2,  unit_wf2,  eclass-val_wf,  member_wf,  outl_wf,  isl_wf,  lelt_wf,  compat-no_repeats_common-member,  ses-thread-no_repeats,  eclass_wf,  event-ordering+_cumulative2,  decidable__lt,  compat-common-member,  int_seg_subtype-nat,  false_wf,  set_wf,  decidable__le,  not-le-2,  condition-implies-le,  add-associates,  minus-add,  minus-one-mul,  add-swap,  add-commutes,  zero-add,  le_antisymmetry_iff,  less-iff-le,  add_functionality_wrt_le,  le-add-cancel2,  assert_functionality_wrt_uiff,  ses-signed_wf,  le-add-cancel,  decidable__equal_int,  not-equal-2,  subtype_rel_list,  es-causl_irreflexivity,  sdata_subtype_base

Latex:
\mforall{}[s:SES]
    (\mforall{}[bss:Basic1  List].  UniqueSignatures(bss)  supposing  FreshSignatures(bss))  supposing 
          (PropertyS  and 
          PropertyO  and 
          ActionsDisjoint)



Date html generated: 2015_07_23-PM-00_18_12
Last ObjectModification: 2015_02_04-PM-03_25_16

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