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: List uimplies: 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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