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Revision as of 21:07, 2 February 2009
, 21:07, 2 February 2009→Syntactic Transformation Rules: format definition box
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{| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black" width="90%"
Definition 4
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
If X c U,
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then the following are identical subsets of UxB:
| width="20%" | <math>\operatorname{Definition~4}</math>
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D4a. {X}
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D4b. {<u, v> C UxB : v = [u C X]}
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|- style="height:40px"
| width="2%" style="border-top:1px solid black" |
| 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>
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| <math>\text{then}\!</math>
| <math>\text{the following are identical subsets of}~ X \times \underline\mathbb{B}:</math>
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{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px"
| width="2%" style="border-top:1px solid black" |
| width="18%" style="border-top:1px solid black" | <math>\operatorname{D4a.}</math>
| width="80%" style="border-top:1px solid black" | <math>\upharpoonleft Q \upharpoonright</math>
|- style="height:40px"
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| <math>\operatorname{D4b.}</math>
| <math>\{ (x, y) \in X \times \underline\mathbb{B} ~:~ y ~=~ \downharpoonleft x \in Q \downharpoonright</math>
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