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
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
iff: P ⇐⇒ Q,
implies: P ⇒ Q,
prop: ℙ,
rev_implies: P ⇐ Q,
not: ¬A,
false: False,
uimplies: b supposing a,
decidable: Dec(P),
or: P ∨ Q
Latex:
\mforall{}d:SecurityData. \mforall{}a:Atom1. (\mneg{}a\#d:SecurityData \mLeftarrow{}{}\mRightarrow{} (a \mmember{} sdata-atoms(d)))
Date html generated:
2016_05_17-AM-11_39_58
Last ObjectModification:
2015_12_29-PM-06_45_42
Theory : event-logic-applications
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