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Revision as of 04:22, 3 February 2009
, 04:22, 3 February 2009→Syntactic Transformation Rules: format definition box
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If S, T are sentences+ about things in the universe U,
−
−then the following are equivalent:
−
−D7a. S <=> T.
−
−D7b. [S] = [T].
+
<br>
<br>
−<pre>
+{| 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 7
+|
+{| align="center" cellpadding="0" cellspacing="0" width="100%"
+|- style="height:40px; text-align:center"
+| width="80%" |
+| width="20%" | <math>\operatorname{Definition~7}</math>
+|}
+|-
+|
+{| 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>\text{If}\!</math>
+| width="80%" style="border-top:1px solid black" | <math>s, t ~\text{are sentences about things in the universe}~ X</math>
+|- style="height:40px"
+|
+| <math>\text{then}\!</math>
+| <math>\text{the following are equivalent:}\!</math>
+|}
+|-
+|
+{| 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{D7a.}</math>
+| width="80%" style="border-top:1px solid black" | <math>s ~\Leftrightarrow~ t</math>
+|- style="height:40px"
+|
+| <math>\operatorname{D7b.}</math>
+| <math>\downharpoonleft s \downharpoonright ~=~ \downharpoonleft t \downharpoonright</math>
+|}
+|}
−<br>
−<pre>
Rule 5
Rule 5
If X, Y c U,
If X, Y c U,
