Nuprl Lemma : ses-info-flow-exp_functionality
∀s:SES
(ActionsDisjoint ⇒ (∀es:EO+(Info). ∀x,y:E. (same-action(x;y) ⇒ (∀e:E. ∀n:ℕ+. ((e ->>^n x) ⇒ (e ->>^n 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,
rel_exp: R^n,
nat_plus: ℕ+,
infix_ap: x f y,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
or: P ∨ Q,
rev_implies: P ⇐ Q,
exists: ∃x:A. B[x],
cand: A c∧ B,
nat_plus: ℕ+,
decidable: Dec(P),
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
false: False,
not: ¬A,
top: Top,
prop: ℙ,
nat: ℕ,
infix_ap: x f y
Latex:
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} (\mforall{}es:EO+(Info). \mforall{}x,y:E.
(same-action(x;y) {}\mRightarrow{} (\mforall{}e:E. \mforall{}n:\mBbbN{}\msupplus{}. ((e ->>\^{}n x) {}\mRightarrow{} (e ->>\^{}n y))))))
Date html generated:
2016_05_17-PM-00_27_22
Last ObjectModification:
2016_01_18-AM-07_43_46
Theory : event-logic-applications
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