Nuprl Lemma : sdata-pair-one-one
∀[x1,x2,y1,y2:SecurityData].
uiff(<x1, x2> = <y1, y2> ∈ SecurityData;{(x1 = y1 ∈ SecurityData) ∧ (x2 = y2 ∈ SecurityData)})
Proof
Definitions occuring in Statement :
sdata-pair: <d1, d2>,
sdata: SecurityData,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
guard: {T},
and: P ∧ Q,
equal: s = t ∈ T
Definitions unfolded in proof :
guard: {T},
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
prop: ℙ,
sdata: SecurityData,
Id: Id,
sq_type: SQType(T),
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,
top: Top
Latex:
\mforall{}[x1,x2,y1,y2:SecurityData]. uiff(<x1, x2> = <y1, y2>\{(x1 = y1) \mwedge{} (x2 = y2)\})
Date html generated:
2016_05_17-AM-11_38_12
Last ObjectModification:
2015_12_29-PM-06_47_09
Theory : event-logic-applications
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