Nuprl Lemma : ses-signature-unique2
∀[s:SES]
∀[es:EO+(Info)]. ∀[a,b:E(Sign)].
{(signed(a) = signed(b) ∈ SecurityData) ∧ (signer(a) = signer(b) ∈ Id)}
supposing signature(a) = signature(b) ∈ Atom1
supposing PropertyO
Proof
Definitions occuring in Statement :
ses-ordering: PropertyO,
ses-signed: signed(e),
ses-signer: signer(e),
ses-sig: signature(e),
ses-sign: Sign,
ses-info: Info,
security-event-structure: SES,
sdata: SecurityData,
es-E-interface: E(X),
event-ordering+: EO+(Info),
Id: Id,
atom: Atom$n,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
guard: {T},
and: P ∧ Q,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
guard: {T},
and: P ∧ Q,
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
all: ∀x:A. B[x],
top: Top,
ses-signer: signer(e),
ses-signed: signed(e),
cand: A c∧ B,
squash: ↓T,
true: True,
implies: P ⇒ Q,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[s:SES]
\mforall{}[es:EO+(Info)]. \mforall{}[a,b:E(Sign)].
\{(signed(a) = signed(b)) \mwedge{} (signer(a) = signer(b))\} supposing signature(a) = signature(b)
supposing PropertyO
Date html generated:
2016_05_17-PM-00_23_53
Last ObjectModification:
2016_01_18-AM-07_44_36
Theory : event-logic-applications
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