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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 19:58, 10 February 2009
, 19:58, 10 February 2009→Variant 2
|- style="height:50px"
|- style="height:50px"
| width="2%" style="border-top:1px solid black" |
| width="2%" style="border-top:1px solid black" |
| width="10%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="14%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="68%" style="border-top:1px solid black" | <math>L ~\subseteq~ O \times S \times I</math>
| width="64%" style="border-top:1px solid black" | <math>L ~\subseteq~ O \times S \times I</math>
| width="20%" style="border-top:1px solid black; border-left:1px solid black" |
| width="20%" style="border-top:1px solid black; border-left:1px solid black" |
|- style="height:50px"
|- style="height:50px"
|- style="height:60px"
|- style="height:60px"
| width="2%" style="border-top:1px solid black" |
| width="2%" style="border-top:1px solid black" |
| width="10%" style="border-top:1px solid black" | <math>\operatorname{F2.1a.}</math>
| width="14%" style="border-top:1px solid black" | <math>\operatorname{F2.1a.}</math>
| width="68%" style="border-top:1px solid black" | <math>\operatorname{Der}^L</math>
| width="64%" style="border-top:1px solid black" | <math>\operatorname{Der}^L</math>
| width="20%" style="border-top:1px solid black; border-left:1px solid black; text-align:center" | <math>\operatorname{F2.1a~:~D13a}</math>
| width="20%" style="border-top:1px solid black; border-left:1px solid black; text-align:center" | <math>\operatorname{F2.1a~:~D13a}</math>
|- style="height:20px"
|- style="height:20px"
|- style="height:40px"
|- style="height:40px"
|
|
| <math>\operatorname{F2.1b.}</math>
| valign="top" | <math>\operatorname{F2.1b.}</math>
| <math>\operatorname{Der}(L)</math>
| valign="top" | <math>\operatorname{Der}(L)</math>
| style="border-left:1px solid black; text-align:center" |
| style="border-left:1px solid black; text-align:center" |
<math>\operatorname{F2.1b~:~D13b}</math>
<math>\operatorname{F2.1b~:~D13b}</math>
|- style="height:60px"
|- style="height:60px"
|
|
| <math>\operatorname{F2.1c.}</math>
| valign="top" | <math>\operatorname{F2.1c.}</math>
| <math>\{ (x, y) \in S \times I ~:~ \operatorname{Den}(L, x) ~=~ \operatorname{Den}(L, y) \}</math>
| valign="top" |
<math>\begin{array}{ll}
\{ & (x, y) \in S \times I ~: \\
& \operatorname{Den}(L, x) ~=~ \operatorname{Den}(L, y) \\
\} & \\
\end{array}</math>
| style="border-left:1px solid black; text-align:center" |
| style="border-left:1px solid black; text-align:center" |
<p><math>\operatorname{F2.1c~:~D13c}</math></p>
<p><math>\operatorname{F2.1c~:~D13c}</math></p>
|
|
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
|- style="height:40px"
|- style="height:60px"
|
|
| <math>\operatorname{F2.1d.}</math>
| valign="top" | <math>\operatorname{F2.1d.}</math>
| <math>\{ (x, y) \in S \times I ~:~ \upharpoonleft \operatorname{Den}(L, x) \upharpoonright ~=~ \upharpoonleft \operatorname{Den}(L, y) \upharpoonright \}</math>
| valign="top" |
<math>\begin{array}{ll}
\{ & (x, y) \in S \times I ~: \\
& \upharpoonleft \operatorname{Den}(L, x) \upharpoonright ~=~ \upharpoonleft \operatorname{Den}(L, y) \upharpoonright \\
\} & \\
\end{array}</math>
| style="border-left:1px solid black; text-align:center" |
| style="border-left:1px solid black; text-align:center" |
<math>\operatorname{F2.1d~:~R9b}</math>
<math>\operatorname{F2.1d~:~R9b}</math>