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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 14:44, 9 February 2009
, 14:44, 9 February 2009→Definition 10
D10e. {<o, s> C OxS : <o, s, i> C R for some i C I}
D10e. {<o, s> C OxS : <o, s, i> C R for some i C I}
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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%"
|- style="height:40px; text-align:center"
| width="80%" |
| width="20%" | <math>\operatorname{Definition~8}</math>
|}
|-
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{| 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}~ S \times I \, :</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{D8a.}</math>
| width="80%" style="border-top:1px solid black" | <math>L_{SI}\!</math>
|- style="height:40px"
|
| <math>\operatorname{D8b.}</math>
| <math>\operatorname{Con}^L</math>
|- style="height:40px"
|
| <math>\operatorname{D8c.}</math>
| <math>\operatorname{Con}(L)</math>
|- style="height:40px"
|
| <math>\operatorname{D8d.}</math>
| <math>\operatorname{proj}_{SI}(L)</math>
|- style="height:40px"
|
| <math>\operatorname{D8e.}</math>
| <math>\{ (s, i) \in S \times I ~:~ (o, s, i) \in L ~\operatorname{for~some}~ o \in O \}</math>
|}
|}
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===Definition 11===
===Definition 11===