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412 bytes added ,  17:58, 11 December 2008
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===Functional quantifiers===
 
===Functional quantifiers===
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The '''relative umpire operator''' <math>\Upsilon : (\mathbb{B}^2 \to \mathbb{B})^2 \to \mathbb{B}</math> takes two propositions of type <math>\mathbb{B}^2 \to \mathbb{B}</math> as arguments and gives the value <math>1\!</math> if and only if the first implies the second.  In symbols:
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<center>
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<math>\Upsilon \langle e, f \rangle = 1 \quad \operatorname{iff} \quad e \Rightarrow f.</math>
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</center>
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<br>
    
====Tables====
 
====Tables====
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