Nuprl Lemma : ses-msg-cases
∀[ses:SES]
∀[es:EO+(Info)]
((∀[e:E]. isMsg(e) ~ ff supposing ↑e ∈b Sign)
∧ (∀[e:E]. isMsg(e) ~ ff supposing ↑e ∈b Verify)
∧ (∀[e:E]. isMsg(e) ~ ff supposing ↑e ∈b Encrypt)
∧ (∀[e:E]. isMsg(e) ~ ff supposing ↑e ∈b Decrypt)
∧ (∀[e:E]. isMsg(e) ~ ff supposing ↑e ∈b New)
∧ (∀[e:E]. isMsg(e) ~ tt supposing ↑e ∈b Send)
∧ (∀[e:E]. isMsg(e) ~ tt supposing ↑e ∈b Rcv))
supposing ActionsDisjoint
Proof
Definitions occuring in Statement :
ses-msg: isMsg(e),
ses-disjoint: ActionsDisjoint,
ses-decrypt: Decrypt,
ses-encrypt: Encrypt,
ses-verify: Verify,
ses-sign: Sign,
ses-rcv: Rcv,
ses-send: Send,
ses-new: New,
ses-info: Info,
security-event-structure: SES,
in-eclass: e ∈b X,
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
bfalse: ff,
btrue: tt,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
sqequal: s ~ t
Lemmas :
in-eclass_wf,
ses-info_wf,
ses-send_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
top_wf,
subtype_top,
sdata_wf,
bool_wf,
eqtt_to_assert,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-commutes,
le-add-cancel2,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
iff_imp_equal_bool,
ses-rcv_wf,
bfalse_wf,
assert_wf,
false_wf,
ses-sign_wf,
Id_wf,
ses-verify_wf,
ses-encrypt_wf,
encryption-key_wf,
ses-decrypt_wf,
ses-new_wf,
assert_elim,
and_wf,
bnot_wf,
btrue_neq_bfalse,
btrue_wf,
true_wf,
ses-disjoint_wf,
security-event-structure_wf
Latex:
\mforall{}[ses:SES]
\mforall{}[es:EO+(Info)]
((\mforall{}[e:E]. isMsg(e) \msim{} ff supposing \muparrow{}e \mmember{}\msubb{} Sign)
\mwedge{} (\mforall{}[e:E]. isMsg(e) \msim{} ff supposing \muparrow{}e \mmember{}\msubb{} Verify)
\mwedge{} (\mforall{}[e:E]. isMsg(e) \msim{} ff supposing \muparrow{}e \mmember{}\msubb{} Encrypt)
\mwedge{} (\mforall{}[e:E]. isMsg(e) \msim{} ff supposing \muparrow{}e \mmember{}\msubb{} Decrypt)
\mwedge{} (\mforall{}[e:E]. isMsg(e) \msim{} ff supposing \muparrow{}e \mmember{}\msubb{} New)
\mwedge{} (\mforall{}[e:E]. isMsg(e) \msim{} tt supposing \muparrow{}e \mmember{}\msubb{} Send)
\mwedge{} (\mforall{}[e:E]. isMsg(e) \msim{} tt supposing \muparrow{}e \mmember{}\msubb{} Rcv))
supposing ActionsDisjoint
Date html generated:
2015_07_23-PM-00_09_26
Last ObjectModification:
2015_01_29-AM-07_53_50
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