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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 20:52, 12 February 2009
, 20:52, 12 February 2009→Variant 2
| width="66%" style="border-top:1px solid black" |
| width="66%" style="border-top:1px solid black" |
| 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:60px"
|- style="height:80px"
|
|
| valign="top" | <math>\operatorname{F2.2a.}</math>
| valign="top" | <math>\operatorname{F2.2a.}</math>
| valign="top" |
| valign="top" |
<math>\begin{array}{llll}
<math>\begin{array}{cccl}
\operatorname{Der}^L
\operatorname{Der}^L
& = & \{ & (x, y) \in S \times I ~: \\
& = & \{ & (x, y) \in S \times I ~: \\
& & & \begin{array}{lcl}
& & & \begin{array}{ccl}
\underset{o \in O}{\operatorname{Conj}} \\
\underset{o \in O}{\operatorname{Conj}} \\
& ( & \upharpoonleft \operatorname{Den}^L x \upharpoonright (o) \\
& ( & \upharpoonleft \operatorname{Den}^L x \upharpoonright (o) \\
| colspan="3" |
| colspan="3" |
| 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:80px"
|
|
| valign="top" | <math>\operatorname{F2.2b.}</math>
| valign="top" | <math>\operatorname{F2.2b.}</math>
| valign="top" |
| valign="top" |
<math>\begin{array}{lllll}
<math>\begin{array}{ccccl}
\upharpoonleft \operatorname{Der}^L \upharpoonright
\upharpoonleft \operatorname{Der}^L \upharpoonright
& = & \upharpoonleft & \{ & (x, y) \in S \times I ~: \\
& = & \upharpoonleft & \{ & (x, y) \in S \times I ~: \\
& & & & \begin{array}{lcl}
& & & & \begin{array}{ccl}
\underset{o \in O}{\operatorname{Conj}} \\
\underset{o \in O}{\operatorname{Conj}} \\
& ( & \upharpoonleft \operatorname{Den}^L x \upharpoonright (o) \\
& ( & \upharpoonleft \operatorname{Den}^L x \upharpoonright (o) \\
| colspan="3" |
| colspan="3" |
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
|- style="height:60px"
|- style="height:80px"
|
|
| valign="top" | <math>\operatorname{F2.2c.}</math>
| valign="top" | <math>\operatorname{F2.2c.}</math>
| valign="top" |
| valign="top" |
<math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math>
<math>\begin{array}{cccl}
\upharpoonleft \operatorname{Der}^L \upharpoonright
& = & \{ & (x, y, z) \in S \times I \times \underline\mathbb{B} ~:~ z = \\
& & & \begin{array}{cccl}
\downharpoonleft & \underset{o \in O}{\operatorname{Conj}} \\
& & ( & \upharpoonleft \operatorname{Den}^L x \upharpoonright (o) \\
& & = & \upharpoonleft \operatorname{Den}^L y \upharpoonright (o) \\
& & ) & \\
\downharpoonright & & \\
\end{array} \\
& & \} & \\
& & & \\
\end{array}</math>
| style="border-left:1px solid black; text-align:center" |
| style="border-left:1px solid black; text-align:center" |
<math>\operatorname{F2.2c~:~R11c}</math></p>
<math>\operatorname{F2.2c~:~R11c}</math></p>