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User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 20:04, 29 January 2009
, 20:04, 29 January 2009→Variant 5
====Variant 5====
====Variant 5====
<pre>
<br>
If f, g : U -> B,
{| 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:48px; text-align:right"
| width="98%" | <math>\text{Value Rule 1}\!</math>
| width="2%" |
|}
|-
|
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- 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"
|
| <math>\text{then}\!</math>
| <math>\text{the following are identical propositions on}~ X:</math>
|}
|-
|
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- 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"
|
| <math>\text{V1b.}\!</math>
| <math>\downharpoonleft f ~\Leftrightarrow~ g \downharpoonright</math>
|- style="height:56px"
|
| <math>\text{V1c.}\!</math>
| <math>\underline{((}~ f ~,~ g ~\underline{))}^\$</math>
|}
|}
<br>
===Evaluation Rule 1===
===Evaluation Rule 1===