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(there is a unique x in A such that P(x))

Who Cites exists unique?
exists_uniqueDef  !x:AP(x) == x:A. x is the x:AP(x)
Thm*  A:Type, P:(AProp). (!x:AP(x))  Prop
is_theDef  x is the u:AP(u) == P(x) & (u:AP(u u = x)
Thm*  A:Type, P:(AProp), x:A. (x is the x:AP(x))  Prop

Syntax:!x:AP(x) has structure: exists_unique(Ax.P(x))

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functionuniverseequalmemberpropimplies
andallexists!abstraction
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WhoCites Definitions LogicSupplement Sections DiscrMathExt Doc