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Revision as of 17:24, 30 January 2009
, 17:24, 30 January 2009→Syntactic Transformations: reformat box display
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{| align="center" cellpadding="2" 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%"
{| 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%"
|
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px; text-align:center"
| width="80%" |
| width="20%" style="border-left:1px solid black" | <math>\operatorname{Rule~3}</math>
|}
|-
|
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:40px"
|- style="height:40px"
| width="2%" |
| width="2%" style="border-top:1px solid black" |
| width="14%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="64%" style="border-top:1px solid black" | <math>Q ~\subseteq~ X</math>
| width="20%" style="border-top:1px solid black; border-left:1px solid black" |
| style="border-top:1px solid black" | <math>\text{If}\!</math>
| style="border-top:1px solid black" | <math>Q \subseteq X</math>
| style="border-left:1px solid black; border-top:1px solid black" |
|- style="height:40px"
|- style="height:40px"
|
|
| <math>\text{and}\!</math>
| <math>\text{and}\!</math>
| <math>x \in X</math>
| <math>x ~\in~ X</math>
| style="border-left:1px solid black" |
| style="border-left:1px solid black" |
|- style="height:40px"
|- style="height:40px"
| <math>\text{the following are equivalent:}\!</math>
| <math>\text{the following are equivalent:}\!</math>
| style="border-left:1px solid black" |
| style="border-left:1px solid black" |
|- style="height:36px"
|}
| style="border-top:1px solid black" |
|-
| style="border-top:1px solid black" | <math>\text{R3a.}\!</math>
|
| style="border-top:1px solid black" | <math>x \in Q</math>
{| align="center" cellpadding="0" cellspacing="0" width="100%"
| align="center" style="border-left:1px solid black; border-top:1px solid black" | <math>\text{R3a : R1a}\!</math>
|- style="height:40px"
| width="2%" style="border-top:1px solid black" |
| width="14%" style="border-top:1px solid black" | <math>\operatorname{R3a.}</math>
| width="64%" style="border-top:1px solid black" | <math>x ~\in~ Q</math>
|- style="height:36px"
| width="20%" style="border-top:1px solid black; border-left:1px solid black; text-align:center" | <math>\operatorname{R3a~:~R1a}</math>
|- style="height:20px"
|
|
| <math>\text{R3b.}\!</math>
|
|
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
|- style="height:60px"
|
| <math>\operatorname{R3b.}</math>
| <math>\upharpoonleft Q \upharpoonright (x)</math>
| <math>\upharpoonleft Q \upharpoonright (x)</math>
| align="center" style="border-left:1px solid black" |
| style="border-left:1px solid black; text-align:center" |
<p><math>\text{R3b : R1b}\!</math></p>
<p><math>\operatorname{R3b~:~R1b}</math></p>
<p><math>\text{R3b : R2a}\!</math></p>
<p><math>\operatorname{R3b~:~R2a}</math></p>
|- style="height:24px"
|- style="height:20px"
| || ||
|
| align="center" style="border-left:1px solid black" | <math>::\!</math>
|
|- style="height:36px"
|
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
|- style="height:40px"
|
|
| <math>\text{R3c.}\!</math>
| <math>\operatorname{R3c.}</math>
| <math>\upharpoonleft Q \upharpoonright (x) = \underline{1}</math>
| <math>\upharpoonleft Q \upharpoonright (x) ~=~ \underline{1}</math>
| align="center" style="border-left:1px solid black" | <math>\text{R3c : R2b}\!</math>
| style="border-left:1px solid black; text-align:center" | <math>\operatorname{R3c~:~R2b}</math></p>
|}
|}
|}
