Nuprl Lemma : ses-public-not-private
∀[s:SES]. ∀[A,B:Id]. uiff(PublicKey(A) = PrivateKey(B) ∈ Key;False)
Proof
Definitions occuring in Statement :
ses-public-key: PublicKey(A),
ses-private-key: PrivateKey(A),
security-event-structure: SES,
encryption-key: Key,
Id: Id,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
false: False,
equal: s = t ∈ T
Definitions unfolded in proof :
ses-private-key: PrivateKey(A),
ses-public-key: PublicKey(A),
encryption-key: Key,
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
false: False,
isl: isl(x),
prop: ℙ,
not: ¬A,
implies: P ⇒ Q
Latex:
\mforall{}[s:SES]. \mforall{}[A,B:Id]. uiff(PublicKey(A) = PrivateKey(B);False)
Date html generated:
2016_05_17-AM-11_45_19
Last ObjectModification:
2015_12_29-PM-06_42_00
Theory : event-logic-applications
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