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 21:02, 25 January 2009
, 21:02, 25 January 2009→Proof Schemata
| style="border-right:1px solid black; border-top:1px solid black" |
| style="border-right:1px solid black; border-top:1px solid black" |
|-
|-
| style="border-left:1px solid black" | <math>\text{R2a.}\!</math>
| style="border-left:1px solid black" | <math>\text{R1b.}\!</math>
| <math>\upharpoonleft Q \upharpoonright (x)</math>
| <math>\upharpoonleft Q \upharpoonright (x)</math>
| style="border-right:1px solid black" |
| style="border-right:1px solid black" |
<br>
<br>
<pre>
{| align="center" cellpadding="12" cellspacing="0" style="border-top:1px solid black; border-bottom:1px solid black" width="90%"
Rule 2
|-
| align="left" style="border-left:1px solid black" width="20%" |
If f : U -> B
| align="left" width="60%" |
| align="right" style="border-right:1px solid black" width="20%" | <math>\text{Rule 2}\!</math>
|-
| style="border-left:1px solid black; border-top:1px solid black" | <math>\text{If}\!</math>
then the following are equivalent:
| style="border-top:1px solid black" | <math>f : X \to \underline\mathbb{B}</math>
| style="border-right:1px solid black; border-top:1px solid black" |
R2a. f(u).
|-
| style="border-left:1px solid black" | <math>\text{and}\!</math>
R2b. f(u) = 1.
| <math>x \in X</math>
</pre>
| style="border-right:1px solid black" |
|-
| style="border-left:1px solid black" | <math>\text{then}\!</math>
| <math>\text{the following are equivalent:}\!</math>
| style="border-right:1px solid black" |
|-
| style="border-left:1px solid black; border-top:1px solid black" | <math>\text{R2a.}\!</math>
| style="border-top:1px solid black" | <math>f(x)\!</math>
| style="border-right:1px solid black; border-top:1px solid black" |
|-
| style="border-left:1px solid black" | <math>\text{R2b.}\!</math>
| <math>f(x) = \underline{1}</math>
| style="border-right:1px solid black" |
|}
<br>
<br>
