12,089
edits
Changes
User:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 12:56, 26 January 2009
, 12:56, 26 January 2009→Proof Schemata : New Versions
<br>
<br>
{| align="center" cellpadding="12" cellspacing="0" style="border-top:1px solid black; border-bottom:1px solid black" width="90%"
{| align="center" cellpadding="2" 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%"
|-
|- style="height:40px"
| width="2%" |
| align="left" width="60%" |
| width="18%" |
| align="right" style="border-right:1px solid black" width="20%" | <math>\text{Rule 1}\!</math>
| width="60%" |
|-
| align="center" width="20%" | <math>\text{Rule 1}\!</math>
| style="border-left:1px solid black; border-top:1px solid black" | <math>\text{If}\!</math>
|- style="height:40px"
| style="border-top:1px solid black" |
| style="border-top:1px solid black" | <math>\text{If}\!</math>
| style="border-top:1px solid black" | <math>Q \subseteq X</math>
| style="border-top:1px solid black" | <math>Q \subseteq X</math>
| style="border-right:1px solid black; border-top:1px solid black" |
| style="border-top:1px solid black" |
|-
|- style="height:40px"
|
| <math>\text{then}\!</math>
| <math>\upharpoonleft Q \upharpoonright ~:~ X \to \underline\mathbb{B}</math>
| <math>\upharpoonleft Q \upharpoonright ~:~ X \to \underline\mathbb{B}</math>
|
|-
|- style="height:40px"
|
| <math>\text{and if}\!</math>
| <math>x \in X</math>
| <math>x \in X</math>
|
|-
|- style="height:40px"
|
| <math>\text{then}\!</math>
| <math>\text{the following are equivalent:}\!</math>
| <math>\text{the following are equivalent:}\!</math>
| style="border-right:1px solid black" |
|
|- style="height:40px"
| style="border-left:1px solid black; border-top:1px solid black" | <math>\text{R1a.}\!</math>
| style="border-top:1px solid black" |
| style="border-top:1px solid black" | <math>\text{R1a.}\!</math>
| style="border-top:1px solid black" | <math>x \in Q</math>
| style="border-top:1px solid black" | <math>x \in Q</math>
| style="border-right:1px solid black; border-top:1px solid black" |
| style="border-top:1px solid black" |
|-
|- style="height:40px"
|
| <math>\text{R1b.}\!</math>
| <math>\upharpoonleft Q \upharpoonright (x)</math>
| <math>\upharpoonleft Q \upharpoonright (x)</math>
|
|}
|}