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Line 3,689: |
| D12h. {o C O : <o, x, i> C R for some i C I} | | D12h. {o C O : <o, x, i> C R for some i C I} |
| </pre> | | </pre> |
| + | |
| + | <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:40px; text-align:center" |
| + | | width="80%" | |
| + | | width="20%" | <math>\operatorname{Definition~10}</math> |
| + | |} |
| + | |- |
| + | | |
| + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| + | |- style="height:40px" |
| + | | width="2%" style="border-top:1px solid black" | |
| + | | width="18%" style="border-top:1px solid black" | <math>\text{If}\!</math> |
| + | | width="80%" style="border-top:1px solid black" | <math>L ~\subseteq~ O \times S \times I</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\text{then}\!</math> |
| + | | <math>\text{the following are identical subsets of}~ O \times S \, :</math> |
| + | |} |
| + | |- |
| + | | |
| + | {| align="center" cellpadding="0" cellspacing="0" width="100%" |
| + | |- style="height:40px" |
| + | | width="2%" style="border-top:1px solid black" | |
| + | | width="18%" style="border-top:1px solid black" | <math>\operatorname{D10a.}</math> |
| + | | width="80%" style="border-top:1px solid black" | <math>L_{OS}\!</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{D10b.}</math> |
| + | | <math>\operatorname{Den}^L</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{D10c.}</math> |
| + | | <math>\operatorname{Den}(L)</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{D10d.}</math> |
| + | | <math>\operatorname{proj}_{OS}(L)</math> |
| + | |- style="height:40px" |
| + | | |
| + | | <math>\operatorname{D10e.}</math> |
| + | | <math>\{ (o, s) \in O \times S ~:~ (o, s, i) \in L ~\operatorname{for~some}~ i \in I \}</math> |
| + | |} |
| + | |} |
| + | |
| + | <br> |
| | | |
| ===Definition 13=== | | ===Definition 13=== |