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| ====Variant 2==== | | ====Variant 2==== |
| + | |
| + | <br> |
| + | |
| + | {| 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:50px; text-align:center" |
| + | | style="width:80%" | |
| + | | style="width:20%; border-left:1px solid black" | <math>\operatorname{Fact~2.2}</math> |
| + | |} |
| + | |- |
| + | | |
| + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| + | |- style="height:50px" |
| + | | width="2%" style="border-top:1px solid black" | |
| + | | width="12%" style="border-top:1px solid black" | <math>\text{If}\!</math> |
| + | | width="66%" 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" | |
| + | |- style="height:50px" |
| + | | |
| + | | <math>\text{then}\!</math> |
| + | | <math>\text{the following are equivalent:}\!</math> |
| + | | style="border-left:1px solid black" | |
| + | |} |
| + | |- |
| + | | |
| + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| + | |- style="height:10px" |
| + | | width="2%" style="border-top:1px solid black" | |
| + | | width="12%" 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" | |
| + | |- style="height:60px" |
| + | | |
| + | | valign="top" | <math>\operatorname{F2.2a.}</math> |
| + | | valign="top" | |
| + | <math>\begin{align} |
| + | \operatorname{Der}(L) |
| + | & = & \{ & (x, y) \in S \times I ~: \\ |
| + | & & & \begin{array}{l} |
| + | \underset{o \in O}{\operatorname{Conj}} \\ |
| + | ( \upharpoonleft \operatorname{Den}(L, x) \upharpoonright (o) = \\ |
| + | \upharpoonleft \operatorname{Den}(L, y) \upharpoonright (o) ) \\ |
| + | \end{array} \\ |
| + | & & \} & \\ |
| + | \end{align}</math> |
| + | | style="border-left:1px solid black; text-align:center" | <math>\operatorname{F2.2a~:~R11a}</math> |
| + | |- style="height:20px" |
| + | | colspan="3" | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{F2.2b.}</math> |
| + | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.2b~:~R11b}</math> |
| + | |- style="height:20px" |
| + | | colspan="3" | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:60px" |
| + | | |
| + | | <math>\operatorname{F2.2c.}</math> |
| + | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.2c~:~R11c}</math></p> |
| + | |- style="height:20px" |
| + | | colspan="3" | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:60px" |
| + | | |
| + | | <math>\operatorname{F2.2d.}</math> |
| + | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.2d~:~Log}</math> |
| + | |- style="height:20px" |
| + | | colspan="3" | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:60px" |
| + | | |
| + | | <math>\operatorname{F2.2e.}</math> |
| + | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.2e~:~Log}</math> |
| + | |- style="height:20px" |
| + | | colspan="3" | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:60px" |
| + | | |
| + | | <math>\operatorname{F2.2f.}</math> |
| + | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.2f~:~$~}</math> |
| + | |} |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | ====Variant 3==== |
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| <br> | | <br> |