Line 3,824: |
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| } :D12a | | } :D12a |
| </pre> | | </pre> |
| + | |
| + | ====Variant 1==== |
| + | |
| + | <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~2.1}</math> |
| + | |} |
| + | |- |
| + | | |
| + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| + | |- style="height:50px" |
| + | | width="2%" style="border-top:1px solid black" | |
| + | | width="10%" 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="20%" style="border-top:1px solid black; border-left:1px solid black" | |
| + | |- style="height:50px" |
| + | | |
| + | | <math>\text{then}\!</math> |
| + | | <math>\text{the following are identical subsets of}~ S \times I :</math> |
| + | | style="border-left:1px solid black" | |
| + | |} |
| + | |- |
| + | | |
| + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| + | |- style="height:60px" |
| + | | width="2%" style="border-top:1px solid black" | |
| + | | width="10%" 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="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="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{F2.1b.}</math> |
| + | | <math>\operatorname{Der}(L)</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.1b~:~D13b}</math> |
| + | |- style="height:20px" |
| + | | |
| + | | |
| + | | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:60px" |
| + | | |
| + | | <math>\operatorname{F2.1c.}</math> |
| + | | <math>\{ (x, y) \in S \times I ~:~ \operatorname{Den}(L, x) ~=~ \operatorname{Den}(L, y) \}</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <p><math>\operatorname{F2.1c~:~D13c}</math></p> |
| + | <p><math>\operatorname{F2.1c~:~R9a}</math></p> |
| + | |- style="height:20px" |
| + | | |
| + | | |
| + | | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <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> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.1d~:~R9b}</math> |
| + | |- style="height:20px" |
| + | | |
| + | | |
| + | | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{F2.1e.}</math> |
| + | | <math>\ldots</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.1e~:~R9c}</math> |
| + | |- style="height:20px" |
| + | | |
| + | | |
| + | | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{F2.1f.}</math> |
| + | | <math>\ldots</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.1f~:~R9d}</math> |
| + | |- style="height:20px" |
| + | | |
| + | | |
| + | | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{F2.1g.}</math> |
| + | | <math>\ldots</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.1g~:~R9e}</math> |
| + | |- style="height:20px" |
| + | | |
| + | | |
| + | | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:60px" |
| + | | |
| + | | <math>\operatorname{F2.1h.}</math> |
| + | | <math>\ldots</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <p><math>\operatorname{F2.1h~:~R9f}</math></p> |
| + | <p><math>\operatorname{F2.1h~:~D12e}</math></p> |
| + | |- style="height:20px" |
| + | | |
| + | | |
| + | | |
| + | | style="border-left:1px solid black; text-align:center" | <math>::\!</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{F2.1i.}</math> |
| + | | <math>\ldots</math> |
| + | | style="border-left:1px solid black; text-align:center" | |
| + | <math>\operatorname{F2.1i~:~D12a}</math> |
| + | |} |
| + | |} |
| + | |
| + | <br> |
| + | |
| + | ====Variant 2==== |
| | | |
| <br> | | <br> |