Nuprl Lemma : sdata-has-atom
∀d:SecurityData. ∀a:Atom1. (¬a#d:SecurityData ⇐⇒ (a ∈ sdata-atoms(d)))
Proof
Definitions occuring in Statement :
sdata-atoms: sdata-atoms(d),
sdata: SecurityData,
l_member: (x ∈ l),
free-from-atom: a#x:T,
atom: Atom$n,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
not: ¬A
Lemmas :
sdata-free-from-atom,
sdata_wf,
not_wf,
free-from-atom_wf,
l_member_wf,
sdata-atoms_wf,
decidable__l_member,
decidable__atom_equal_1
Latex:
\mforall{}d:SecurityData. \mforall{}a:Atom1. (\mneg{}a\#d:SecurityData \mLeftarrow{}{}\mRightarrow{} (a \mmember{} sdata-atoms(d)))
Date html generated:
2015_07_23-PM-00_01_33
Last ObjectModification:
2015_01_29-AM-07_44_19
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