Nuprl Lemma : atom-sdata-one-one
∀[a,b:Atom1]. uiff(data(a) = data(b) ∈ SecurityData;a = b ∈ Atom1)
Proof
Definitions occuring in Statement :
atom-sdata: data(a),
sdata: SecurityData,
atom: Atom$n,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
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,
atom-sdata: data(a),
sdata: SecurityData,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
ifthenelse: if b then t else f fi ,
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
tree_leaf: tree_leaf(value),
tree_leaf?: tree_leaf?(v),
pi1: fst(t),
tree_leaf-value: tree_leaf-value(v),
eq_atom: x =a y,
pi2: snd(t),
outr: outr(x),
true: True,
isl: isl(x)
Latex:
\mforall{}[a,b:Atom1]. uiff(data(a) = data(b);a = b)
Date html generated:
2016_05_17-AM-11_38_21
Last ObjectModification:
2015_12_29-PM-06_47_04
Theory : event-logic-applications
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