12,089
edits
Changes
MyWikiBiz, Author Your Legacy — Thursday September 18, 2025
Jump to navigationJump to searchUser:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 03:58, 26 January 2009
, 03:58, 26 January 2009→Proof Schemata
| align="center" style="border-right:1px solid black" |
| align="center" style="border-right:1px solid black" |
<math>\text{R3c : R2b}\!</math>
<math>\text{R3c : R2b}\!</math>
|}
<br>
{| align="center" 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:36px"
| width="2%" |
| width="18%" |
| width="60%" |
| align="center" style="border-left:1px solid black" width="20%" | <math>\text{Rule 3}\!</math>
|- style="height:36px"
| 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; border-left:1px solid black" |
|- style="height:36px"
|
| <math>\text{and}\!</math>
| <math>x \in X</math>
| style="border-left:1px solid black" |
|- style="height:36px"
|
| <math>\text{then}\!</math>
| <math>\text{the following are equivalent:}\!</math>
| style="border-left:1px solid black" |
|- style="height:36px"
| style="border-top:1px solid black" |
| style="border-top:1px solid black" | <math>\text{R3a.}\!</math>
| style="border-top:1px solid black" | <math>x \in Q</math>
| align="center" style="border-left:1px solid black; border-top:1px solid black" |
<math>\text{R3a : R1a}\!</math>
|- style="height:36px"
|
|
|
| align="center" style="border-left:1px solid black" | <math>::\!</math>
|- style="height:36px"
|
| <math>\text{R3b.}\!</math>
| <math>\upharpoonleft Q \upharpoonright (x)</math>
| align="center" style="border-left:1px solid black" |
<p><math>\text{R3b : R1b}\!</math></p>
<p><math>\text{R3b : R2a}\!</math></p>
|- style="height:36px"
|
|
|
| align="center" style="border-left:1px solid black" | <math>::\!</math>
|- style="height:36px"
|
| <math>\text{R3c.}\!</math>
| <math>\upharpoonleft Q \upharpoonright (x) = \underline{1}</math>
| align="center" style="border-left:1px solid black" | <math>\text{R3c : R2b}\!</math>
|}
|}
<br>
<br>
