Nuprl Lemma : event-has_functionality
∀s:SES. (ActionsDisjoint ⇒ (∀es:EO+(Info). ∀x,y:E. (same-action(x;y) ⇒ (∀a:Atom1. ((x has a) ⇒ (y has a))))))
Proof
Definitions occuring in Statement :
ses-disjoint: ActionsDisjoint,
same-action: same-action(x;y),
event-has: (e has a),
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
es-E: E,
atom: Atom$n,
all: ∀x:A. B[x],
implies: P ⇒ Q
Lemmas :
subtype_base_sq,
int_subtype_base,
not_wf,
squash_wf,
true_wf,
free-from-atom_wf,
or_wf,
assert_wf,
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,
less_than_wf,
ses-rcv_wf,
ses-encrypt_wf,
encryption-key_wf,
ses-decrypt_wf,
ses-sign_wf,
Id_wf,
ses-verify_wf,
ses-new_wf,
event-has_wf,
same-action_wf,
ses-disjoint_wf,
security-event-structure_wf
Latex:
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} (\mforall{}es:EO+(Info). \mforall{}x,y:E. (same-action(x;y) {}\mRightarrow{} (\mforall{}a:Atom1. ((x has a) {}\mRightarrow{} (y has a))))))
Date html generated:
2015_07_23-PM-00_08_25
Last ObjectModification:
2015_01_29-AM-07_53_59
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