Nuprl Lemma : ses-public-one-one
∀[A,B:Id]. uiff(PublicKey(A) = PublicKey(B) ∈ Key;A = B ∈ Id)
Proof
Definitions occuring in Statement :
ses-public-key: PublicKey(A),
encryption-key: Key,
Id: Id,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
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,
outl: outl(x),
prop: ℙ,
isl: isl(x),
assert: ↑b,
ifthenelse: if b then t else f fi ,
btrue: tt,
true: True
Latex:
\mforall{}[A,B:Id]. uiff(PublicKey(A) = PublicKey(B);A = B)
Date html generated:
2016_05_17-AM-11_45_30
Last ObjectModification:
2015_12_29-PM-06_41_47
Theory : event-logic-applications
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