Nuprl Lemma : encryption-key-free-from-atom
∀[k:Key]. ∀[a:Atom1]. uiff(¬(a ∈ encryption-key-atoms(k));a#k:Key)
Proof
Definitions occuring in Statement :
encryption-key-atoms: encryption-key-atoms(k),
encryption-key: Key,
l_member: (x ∈ l),
free-from-atom: a#x:T,
atom: Atom$n,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
not: ¬A
Lemmas :
nil_member,
false_wf,
Id_wf,
free-from-atom-Id,
not_wf,
l_member_wf,
nil_wf,
free-from-atom_wf,
member_singleton,
equal-wf-base,
atom1_subtype_base,
cons_wf,
subtype_base_sq,
free-from-atom-outr2,
encryption-key-atoms_wf,
encryption-key_wf,
free-from-atom-outl2
Latex:
\mforall{}[k:Key]. \mforall{}[a:Atom1]. uiff(\mneg{}(a \mmember{} encryption-key-atoms(k));a\#k:Key)
Date html generated:
2015_07_23-PM-00_01_55
Last ObjectModification:
2015_01_29-AM-07_45_24
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