Nuprl Lemma : sdata-pair-free-from-atom
∀[b:Atom1]. ∀[d1,d2:SecurityData]. uiff(b#<d1, d2>:SecurityData;b#d1:SecurityData ∧ b#d2:SecurityData)
Proof
Definitions occuring in Statement :
sdata-pair: <d1, d2>,
sdata: SecurityData,
free-from-atom: a#x:T,
atom: Atom$n,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
and: P ∧ Q
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
prop: ℙ,
not: ¬A,
implies: P ⇒ Q,
all: ∀x:A. B[x],
top: Top,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
or: P ∨ Q,
guard: {T},
false: False
Latex:
\mforall{}[b:Atom1]. \mforall{}[d1,d2:SecurityData].
uiff(b\#<d1, d2>:SecurityData;b\#d1:SecurityData \mwedge{} b\#d2:SecurityData)
Date html generated:
2016_05_17-AM-11_40_07
Last ObjectModification:
2015_12_29-PM-06_47_14
Theory : event-logic-applications
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