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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 20:32, 29 January 2009
, 20:32, 29 January 2009→Evaluation Rule 1
E1d. (( f , g ))$(u). :$1b
E1d. (( f , g ))$(u). :$1b
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|- style="height:48px; text-align:right"
| width="98%" | <math>\text{Value Rule 1}\!</math>
| width="2%" |
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|- style="height:48px"
| width="2%" style="border-top:1px solid black" |
| width="14%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="84%" style="border-top:1px solid black" | <math>f, g ~:~ X \to \underline\mathbb{B}</math>
|- style="height:48px"
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| <math>\text{then}\!</math>
| <math>\text{the following are identical propositions on}~ X:</math>
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|-
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|- style="height:56px"
| width="2%" style="border-top:1px solid black" |
| width="14%" style="border-top:1px solid black" | <math>\text{V1a.}\!</math>
| width="84%" style="border-top:1px solid black" | <math>\downharpoonleft f ~=~ g \downharpoonright</math>
|- style="height:56px"
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| <math>\text{V1b.}\!</math>
| <math>\downharpoonleft f ~\Leftrightarrow~ g \downharpoonright</math>
|- style="height:56px"
|
| <math>\text{V1c.}\!</math>
| <math>\underline{((}~ f ~,~ g ~\underline{))}^\$</math>
|}
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