| Line 4,010: |
Line 4,010: |
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| | ====Variant 1==== | | ====Variant 1==== |
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| − | <br>
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| − | {| 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%"
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| − | {| align="center" cellpadding="0" cellspacing="0" width="100%"
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| − | |- style="height:50px; text-align:center"
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| − | | style="width:80%" |
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| − | | style="width:20%; border-left:1px solid black" | <math>\operatorname{Fact~2.2}</math>
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| − | {| align="center" cellpadding="0" cellspacing="0" width="100%"
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| − | |- style="height:50px"
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| − | | width="2%" style="border-top:1px solid black" |
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| − | | width="12%" style="border-top:1px solid black" | <math>\text{If}\!</math>
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| − | | width="66%" style="border-top:1px solid black" | <math>L ~\subseteq~ O \times S \times I</math>
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| − | | width="20%" style="border-top:1px solid black; border-left:1px solid black" |
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| − | |- style="height:50px"
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| − | | <math>\text{then}\!</math>
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| − | | <math>\text{the following are equivalent:}\!</math>
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| − | | style="border-left:1px solid black" |
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| − | |}
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| − | {| align="center" cellpadding="0" cellspacing="0" width="100%"
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| − | |- style="height:10px"
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| − | | width="2%" style="border-top:1px solid black" |
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| − | | width="12%" style="border-top:1px solid black" |
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| − | | width="66%" style="border-top:1px solid black" |
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| − | | width="20%" style="border-top:1px solid black; border-left:1px solid black" |
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| − | |- style="height:60px"
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| − | | valign="top" | <math>\operatorname{F2.2a.}</math>
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| − | | valign="top" |
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| − | <math>\begin{align}
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| − | \operatorname{Der}^L
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| − | & = & \{ & (x, y) \in S \times I ~: \\
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| − | & & & \begin{align}
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| − | \underset{o \in O}{\operatorname{Conj}} \\
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| − | & \upharpoonleft \operatorname{Den}(L, x) \upharpoonright (o) & = \\
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| − | & \upharpoonleft \operatorname{Den}(L, y) \upharpoonright (o) & \\
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| − | \end{align} \\
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| − | & & \} & \\
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| − | \end{align}</math>
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| − | | style="border-left:1px solid black; text-align:center" | <math>\operatorname{F2.2a~:~R11a}</math>
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| − | |- style="height:20px"
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| − | | colspan="3" |
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| − | | style="border-left:1px solid black; text-align:center" | <math>::\!</math>
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| − | |- style="height:40px"
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| − | | valign="top" | <math>\operatorname{F2.2b.}</math>
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| − | | valign="top" |
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| − | <math>\begin{align}
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| − | \upharpoonleft \operatorname{Der}^L \upharpoonright
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| − | & = & \upharpoonleft \{ & (x, y) \in S \times I ~: \\
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| − | & & & \begin{align}
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| − | \underset{o \in O}{\operatorname{Conj}} \\
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| − | & \upharpoonleft \operatorname{Den}(L, x) \upharpoonright (o) & = \\
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| − | & \upharpoonleft \operatorname{Den}(L, y) \upharpoonright (o) & \\
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| − | \end{align} \\
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| − | & & \} \upharpoonright & \\
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| − | \end{align}</math>
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| − | | style="border-left:1px solid black; text-align:center" |
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| − | <math>\operatorname{F2.2b~:~R11b}</math>
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| − | |- style="height:20px"
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| − | | colspan="3" |
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| − | | style="border-left:1px solid black; text-align:center" | <math>::\!</math>
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| − | |- style="height:60px"
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| − | | <math>\operatorname{F2.2c.}</math>
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| − | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math>
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| − | | style="border-left:1px solid black; text-align:center" |
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| − | <math>\operatorname{F2.2c~:~R11c}</math></p>
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| − | |- style="height:20px"
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| − | | colspan="3" |
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| − | | style="border-left:1px solid black; text-align:center" | <math>::\!</math>
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| − | |- style="height:60px"
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| − | | <math>\operatorname{F2.2d.}</math>
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| − | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math>
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| − | | style="border-left:1px solid black; text-align:center" |
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| − | <math>\operatorname{F2.2d~:~Log}</math>
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| − | |- style="height:20px"
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| − | | colspan="3" |
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| − | | style="border-left:1px solid black; text-align:center" | <math>::\!</math>
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| − | |- style="height:60px"
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| − | | <math>\operatorname{F2.2e.}</math>
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| − | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math>
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| − | | style="border-left:1px solid black; text-align:center" |
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| − | <math>\operatorname{F2.2e~:~Log}</math>
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| − | |- style="height:20px"
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| − | | colspan="3" |
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| − | | style="border-left:1px solid black; text-align:center" | <math>::\!</math>
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| − | |- style="height:60px"
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| − | | <math>\operatorname{F2.2f.}</math>
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| − | | <math>\upharpoonleft \operatorname{Der}^L \upharpoonright</math>
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| − | | style="border-left:1px solid black; text-align:center" |
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| − | <math>\operatorname{F2.2f~:~$~}</math>
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| − | |}
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| − | |}
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| − | <br>
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| − |
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| − | ====Variant 2====
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| Line 4,274: |
Line 4,166: |
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| − | ====Variant 3==== | + | ====Variant 2==== |
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| | <br> | | <br> |