Nuprl Lemma : assert-ses-is-fresh
∀f:SecurityData ⟶ (Atom1?). ∀A:Id. ∀pas:ProtocolAction List. (↑ses-is-fresh(f;A;pas) ⇐⇒ ses-fresh-sequence(f;A;pas))
Proof
Definitions occuring in Statement :
ses-is-fresh: ses-is-fresh(f;A;pas),
ses-fresh-sequence: ses-fresh-sequence(f;A;pas),
protocol-action: ProtocolAction,
sdata: SecurityData,
Id: Id,
list: T List,
atom: Atom$n,
assert: ↑b,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
unit: Unit,
function: x:A ⟶ B[x],
union: left + right
Definitions unfolded in proof :
all: ∀x:A. B[x],
ses-is-fresh: ses-is-fresh(f;A;pas),
member: t ∈ T,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
prop: ℙ,
implies: P ⇒ Q,
decidable: Dec(P),
or: P ∨ Q,
isl: isl(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
true: True,
bfalse: ff,
false: False,
not: ¬A
Latex:
\mforall{}f:SecurityData {}\mrightarrow{} (Atom1?). \mforall{}A:Id. \mforall{}pas:ProtocolAction List.
(\muparrow{}ses-is-fresh(f;A;pas) \mLeftarrow{}{}\mRightarrow{} ses-fresh-sequence(f;A;pas))
Date html generated:
2016_05_17-PM-00_39_21
Last ObjectModification:
2015_12_29-PM-06_31_49
Theory : event-logic-applications
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