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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 15:50, 9 February 2009
, 15:50, 9 February 2009→Definition 11
D11g. {<s, o> C SxO : <o, s, i> C R for some i C I}
D11g. {<s, o> C SxO : <o, s, i> C R for some i C I}
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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~9}</math>
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|-
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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}~ I \times S \, :</math>
|}
|-
|
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:50px"
| width="2%" style="border-top:1px solid black" |
| width="18%" style="border-top:1px solid black" | <math>\operatorname{D9a.}</math>
| width="80%" style="border-top:1px solid black" | <math>L_{IS}\!</math>
|- style="height:50px"
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| <math>\operatorname{D9b.}</math>
| <math>\overset{\smile}{L_{SI}}</math>
|- style="height:50px"
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| <math>\operatorname{D9c.}</math>
| <math>\overset{\smile}{\operatorname{Con}^L}</math>
|- style="height:50px"
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| <math>\operatorname{D9d.}</math>
| <math>\overset{\smile}{\operatorname{Con}(L)}</math>
|- style="height:50px"
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| <math>\operatorname{D9e.}</math>
| <math>\operatorname{proj}_{IS}(L)</math>
|- style="height:50px"
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| <math>\operatorname{D9f.}</math>
| <math>\operatorname{Conv}(\operatorname{Con}(L))</math>
|- style="height:50px"
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| <math>\operatorname{D9g.}</math>
| <math>\{ (i, s) \in I \times S ~:~ (o, s, i) \in L ~\operatorname{for~some}~ o \in O \}</math>
|}
|}
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===Definition 12===
===Definition 12===