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		,  02:36, 17 August 2009
	
 
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|   | For all of the reasons mentioned above, and for the sake of a more compact illustration of the ins and outs of a typical propositional equation reasoning system, let's now take up a much simpler example of a contingent proposition:  |   | For all of the reasons mentioned above, and for the sake of a more compact illustration of the ins and outs of a typical propositional equation reasoning system, let's now take up a much simpler example of a contingent proposition:  | 
|   |  |   |  | 
| − | {| align="center" cellpadding="10" style="text-align:center; width:90%"  | + | {| align="center" cellpadding="10"  | 
| − | |  | + | | [[Image:Logical Graph (P (Q)) (P (R)).jpg|500px]] || (26)  | 
| − | <pre>
  |   | 
| − | o-----------------------------------------------------------o
  |   | 
| − | |                                                           |
  |   | 
| − | |                         q o   o r                         |
  |   | 
| − | |                           |   |                           |
  |   | 
| − | |                         p o   o p                         |
  |   | 
| − | |                            \ /                            |
  |   | 
| − | |                             @                             |
  |   | 
| − | |                                                           |
  |   | 
| − | |                      (p (q)) (p (r))                      |
  |   | 
| − | |                                                           |  |   | 
| − | o-----------------------------------------------------------o
  |   | 
| − | </pre>
  |   | 
| − | | (26)  |   | 
|   | |}  |   | |}  | 
|   |  |   |  |