MyWikiBiz, Author Your Legacy — Thursday November 07, 2024
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1,227 bytes added
, 20:14, 26 January 2009
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| <br> | | <br> |
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− | <pre> | + | {| align="center" cellpadding="2" 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%" |
− | Corollary 1 | + | |- style="height:40px" |
− | | + | | width="2%" | |
− | If X c U | + | | width="18%" | |
− | | + | | width="60%" | |
− | and u C U, | + | | align="center" style="border-left:1px solid black" width="20%" | |
− | | + | <math>\text{Corollary 1}\!</math> |
− | then the following statement is true: | + | |- style="height:40px" |
− | | + | | style="border-top:1px solid black" | |
− | C1a. u C X <=> {X}(u) = 1. R3a=R3c | + | | style="border-top:1px solid black" | <math>\text{If}\!</math> |
− | </pre> | + | | style="border-top:1px solid black" | <math>Q \subseteq X</math> |
| + | | style="border-left:1px solid black; border-top:1px solid black" | |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\text{and}\!</math> |
| + | | <math>x \in X</math> |
| + | | style="border-left:1px solid black" | |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\text{then}\!</math> |
| + | | <math>\text{the following statement is true:}\!</math> |
| + | | style="border-left:1px solid black" | |
| + | |- style="height:40px" |
| + | | style="border-top:1px solid black" | |
| + | | style="border-top:1px solid black" | <math>\text{C1a.}\!</math> |
| + | | style="border-top:1px solid black" | |
| + | <math>x \in Q ~\Leftrightarrow~ \upharpoonleft Q \upharpoonright (x) = \underline{1}</math> |
| + | | align="center" style="border-left:1px solid black; border-top:1px solid black" | |
| + | <math>\text{R3a} \Leftrightarrow \text{R3c}</math> |
| + | |} |
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| <br> | | <br> |