Nuprl Lemma : sdata-free-from-atom
∀[d:SecurityData]. ∀[a:Atom1]. uiff(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,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
not: ¬A
Definitions unfolded in proof :
sdata: SecurityData,
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
so_apply: x[s],
implies: P ⇒ Q,
guard: {T},
all: ∀x:A. B[x],
sdata-atoms: sdata-atoms(d),
tree_leaf: tree_leaf(value),
tree_ind: tree_ind,
isl: isl(x),
outr: outr(x),
bnot: ¬bb,
ifthenelse: if b then t else f fi ,
btrue: tt,
bfalse: ff,
id-sdata: data(x),
and: P ∧ Q,
cand: A c∧ B,
iff: P ⇐⇒ Q,
not: ¬A,
false: False,
uimplies: b supposing a,
prop: ℙ,
rev_implies: P ⇐ Q,
true: True,
uiff: uiff(P;Q),
atom-sdata: data(a),
decidable: Dec(P),
or: P ∨ Q,
tree_node: tree_node(left;right),
sdata-pair: <d1, d2>
Latex:
\mforall{}[d:SecurityData]. \mforall{}[a:Atom1]. uiff(a\#d:SecurityData;\mneg{}(a \mmember{} sdata-atoms(d)))
Date html generated:
2016_05_17-AM-11_39_53
Last ObjectModification:
2015_12_29-PM-06_48_41
Theory : event-logic-applications
Home
Index