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


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