Nuprl Lemma : ses-key-rel_witness
∀[s:SES]. ∀[k1,k2:Key].  (MatchingKeys(k1;k2) 
⇒ (Ax ∈ MatchingKeys(k1;k2)))
Proof
Definitions occuring in Statement : 
ses-key-rel: MatchingKeys(k1;k2)
, 
security-event-structure: SES
, 
encryption-key: Key
, 
uall: ∀[x:A]. B[x]
, 
implies: P 
⇒ Q
, 
member: t ∈ T
, 
axiom: Ax
Definitions unfolded in proof : 
security-event-structure: SES
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
implies: P 
⇒ Q
, 
prop: ℙ
, 
so_lambda: λ2x y.t[x; y]
, 
subtype_rel: A ⊆r B
, 
so_apply: x[s1;s2]
, 
ses-key-rel: MatchingKeys(k1;k2)
, 
pi2: snd(t)
, 
pi1: fst(t)
Latex:
\mforall{}[s:SES].  \mforall{}[k1,k2:Key].    (MatchingKeys(k1;k2)  {}\mRightarrow{}  (Ax  \mmember{}  MatchingKeys(k1;k2)))
Date html generated:
2016_05_17-AM-11_44_40
Last ObjectModification:
2015_12_29-PM-06_42_10
Theory : event-logic-applications
Home
Index