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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 14:14, 31 January 2009
, 14:14, 31 January 2009→Definition 5
: f(u) = [u C X], for all u C U.
: f(u) = [u C X], for all u C U.
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px; text-align:center"
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| width="20%" | <math>\text{Definition 5}\!</math>
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|- style="height:40px"
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| width="18%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="80%" style="border-top:1px solid black" | <math>Q ~\subseteq~ X</math>
|- style="height:40px"
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| <math>\text{then}\!</math>
| <math>\text{the following are identical propositions:}\!</math>
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|- style="height:40px"
| width="2%" style="border-top:1px solid black" |
| width="18%" style="border-top:1px solid black" | <math>\operatorname{D5a.}</math>
| width="80%" style="border-top:1px solid black" | <math>\upharpoonleft Q \upharpoonright</math>
|- style="height:60px"
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| valign="top" |<math>\operatorname{D5b.}</math>
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<math>\begin{array}{lcl}
f & : & X \to \underline\mathbb{B}
\\
f(x) & = & \downharpoonleft x \in Q \downharpoonright \quad (\forall x \in X)
\end{array}</math>
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===Definition 6===
===Definition 6===