Nuprl Lemma : ses-is-protocol-actions-fresh
∀s:SES
(ActionsDisjoint
⇒ (∀pas:ProtocolAction List. ∀es:EO+(Info). ∀thr:Thread. ∀A:Id.
(pas(thr) ⇒ (∀f:SecurityData ⟶ (Atom1?). (ses-fresh-sequence(f;A;pas) ⇒ ses-fresh-thread(s;es;f;A;thr))))))
Proof
Definitions occuring in Statement :
ses-fresh-thread: ses-fresh-thread(s;es;f;A;thr),
ses-is-protocol-actions: pas(thr),
ses-fresh-sequence: ses-fresh-sequence(f;A;pas),
protocol-action: ProtocolAction,
ses-thread: Thread,
ses-disjoint: ActionsDisjoint,
ses-info: Info,
security-event-structure: SES,
sdata: SecurityData,
event-ordering+: EO+(Info),
Id: Id,
list: T List,
atom: Atom$n,
all: ∀x:A. B[x],
implies: P ⇒ Q,
unit: Unit,
function: x:A ⟶ B[x],
union: left + right
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
ses-is-protocol-actions: pas(thr),
ses-thread: Thread,
ses-fresh-sequence: ses-fresh-sequence(f;A;pas),
ses-fresh-thread: ses-fresh-thread(s;es;f;A;thr),
member: t ∈ T,
and: P ∧ Q,
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,
subtype_rel: A ⊆r B,
guard: {T},
ses-act: Act,
protocol-action: ProtocolAction,
ses-is-protocol-action: pa(e),
pi1: fst(t),
ses-disjoint: ActionsDisjoint,
sq_type: SQType(T),
cand: A c∧ B,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
ifthenelse: if b then t else f fi ,
true: True,
bfalse: ff,
bnot: ¬bb,
assert: ↑b,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
nequal: a ≠ b ∈ T ,
so_lambda: λ2x.t[x],
so_apply: x[s],
Id: Id,
ses-signer: signer(e),
es-E-interface: E(X),
outl: outl(x),
isl: isl(x),
pi2: snd(t),
eq_atom: x =a y,
squash: ↓T,
ses-signed: signed(e)
Latex:
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} (\mforall{}pas:ProtocolAction List. \mforall{}es:EO+(Info). \mforall{}thr:Thread. \mforall{}A:Id.
(pas(thr)
{}\mRightarrow{} (\mforall{}f:SecurityData {}\mrightarrow{} (Atom1?)
(ses-fresh-sequence(f;A;pas) {}\mRightarrow{} ses-fresh-thread(s;es;f;A;thr))))))
Date html generated:
2016_05_17-PM-00_43_22
Last ObjectModification:
2016_01_18-AM-07_45_29
Theory : event-logic-applications
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