Nuprl Lemma : ses-is-protocol-actions-legal
∀s:SES
(ActionsDisjoint
⇒ (∀pas:ProtocolAction List. ∀es:EO+(Info). ∀thr:Thread. ∀A:Id.
(pas(thr) ⇒ Legal(pas) given Private(A) ⇒ Legal(thr)@A)))
Proof
Definitions occuring in Statement :
ses-is-protocol-actions: pas(thr),
ses-legal-sequence: Legal(pas) given prvt,
protocol-action: ProtocolAction,
ses-legal-thread: Legal(thr)@A,
ses-thread: Thread,
ses-disjoint: ActionsDisjoint,
ses-private: Private(A),
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
Id: Id,
list: T List,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
ses-is-protocol-actions: pas(thr),
ses-thread: Thread,
ses-legal-sequence: Legal(pas) given prvt,
ses-legal-thread: Legal(thr)@A,
and: P ∧ Q,
member: t ∈ T,
int_seg: {i..j-},
lelt: i ≤ j < k,
decidable: Dec(P),
or: P ∨ Q,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
not: ¬A,
top: Top,
prop: ℙ,
le: A ≤ B,
less_than: a < b,
squash: ↓T,
guard: {T},
subtype_rel: A ⊆r B,
ses-act: Act,
true: True
Latex:
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} (\mforall{}pas:ProtocolAction List. \mforall{}es:EO+(Info). \mforall{}thr:Thread. \mforall{}A:Id.
(pas(thr) {}\mRightarrow{} Legal(pas) given Private(A) {}\mRightarrow{} Legal(thr)@A)))
Date html generated:
2016_05_17-PM-00_40_36
Last ObjectModification:
2016_01_18-AM-07_42_10
Theory : event-logic-applications
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