Nuprl Lemma : ses-info-flow_functionality
∀s:SES. (ActionsDisjoint ⇒ (∀es:EO+(Info). ∀x,y:E. (same-action(x;y) ⇒ (∀e:E. ((e ->> x) ⇒ (e ->> y))))))
Proof
Definitions occuring in Statement :
ses-disjoint: ActionsDisjoint,
ses-info-flow: ->>,
same-action: same-action(x;y),
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
es-E: E,
infix_ap: x f y,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
ses-info-flow: ->>,
infix_ap: x f y,
all: ∀x:A. B[x],
implies: P ⇒ Q,
and: P ∧ Q,
cand: A c∧ B,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
es-E-interface: E(X)
Latex:
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} (\mforall{}es:EO+(Info). \mforall{}x,y:E. (same-action(x;y) {}\mRightarrow{} (\mforall{}e:E. ((e ->> x) {}\mRightarrow{} (e ->> y))))))
Date html generated:
2016_05_17-PM-00_27_16
Last ObjectModification:
2015_12_29-PM-06_36_39
Theory : event-logic-applications
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