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User:Jon Awbrey/SCRATCHPAD (view source)

Revision as of 15:48, 1 February 2009

20 bytes added ,  15:48, 1 February 2009
→‎Rule 7
Line 2,640: Line 2,640:  
|- style="height:40px; text-align:center"
 
|- style="height:40px; text-align:center"
 
| width="80%" |  
 
| width="80%" |  
−
| width="20%" style="border-left:1px solid black" | <math>\operatorname{Rule~6}</math>
+
| width="20%" style="border-left:1px solid black" | <math>\operatorname{Rule~7}</math>
 
|}
 
|}
 
|-
 
|-
Line 2,648: Line 2,648:  
| width="2%"  style="border-top:1px solid black" | &nbsp;
 
| width="2%"  style="border-top:1px solid black" | &nbsp;
 
| width="18%" style="border-top:1px solid black" | <math>\text{If}\!</math>
 
| width="18%" style="border-top:1px solid black" | <math>\text{If}\!</math>
−
| width="60%" style="border-top:1px solid black" | <math>f, g ~:~ X \to Y</math>
+
| width="60%" style="border-top:1px solid black" | <math>p, q ~:~ X \to \underline\mathbb{B}</math>
 
| width="20%" style="border-top:1px solid black; border-left:1px solid black" | &nbsp;
 
| width="20%" style="border-top:1px solid black; border-left:1px solid black" | &nbsp;
 
|- style="height:40px"
 
|- style="height:40px"
Line 2,661: Line 2,661:  
|- style="height:40px"
 
|- style="height:40px"
 
| width="2%"  style="border-top:1px solid black" | &nbsp;
 
| width="2%"  style="border-top:1px solid black" | &nbsp;
−
| width="18%" style="border-top:1px solid black" | <math>\operatorname{R6a.}</math>
+
| width="18%" style="border-top:1px solid black" | <math>\operatorname{R7a.}</math>
−
| width="60%" style="border-top:1px solid black" | <math>f ~=~ g</math>
+
| width="60%" style="border-top:1px solid black" | <math>p ~=~ q</math>
−
| width="20%" style="border-top:1px solid black; border-left:1px solid black; text-align:center" | <math>\operatorname{R6a~:~D3a}</math>
+
| width="20%" style="border-top:1px solid black; border-left:1px solid black; text-align:center" | <math>\operatorname{R7a~:~R6a}</math>
 
|- style="height:20px"
 
|- style="height:20px"
 
| &nbsp;
 
| &nbsp;
Line 2,671: Line 2,671:  
|- style="height:60px"
 
|- style="height:60px"
 
| &nbsp;
 
| &nbsp;
−
| <math>\operatorname{R6b.}</math>
+
| <math>\operatorname{R7b.}</math>
−
| <math>\overset{X}{\underset{x}{\forall}}~ (f(x) ~=~ g(x))</math>
+
| <math>\overset{X}{\underset{x}{\forall}}~ (p(x) ~=~ q(x))</math>
−
| style="border-left:1px solid black; text-align:center" |
+
| style="border-left:1px solid black; text-align:center" | <math>\operatorname{R7b~:~R6b}</math>
−
<p><math>\operatorname{R6b~:~D3b}</math></p>
  −
<p><math>\operatorname{R6b~:~D6a}</math></p>
   
|- style="height:20px"
 
|- style="height:20px"
 
| &nbsp;
 
| &nbsp;
Line 2,681: Line 2,679:  
| &nbsp;
 
| &nbsp;
 
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
 
| style="border-left:1px solid black; text-align:center" | <math>::\!</math>
−
|- style="height:40px"
+
|- style="height:60px"
 
| &nbsp;
 
| &nbsp;
−
| <math>\operatorname{R6c.}</math>
+
| <math>\operatorname{R7c.}</math>
−
| <math>\operatorname{Conj_x^X}~ (f(x) ~=~ g(x))</math>
+
| <math>\operatorname{Conj_x^X}~ (p(x) ~=~ q(x))</math>
−
| style="border-left:1px solid black; text-align:center" |<math>\operatorname{R6c~:~D6e}</math>
+
| style="border-left:1px solid black; text-align:center" |
 +
<p><math>\operatorname{R7c~:~R6c}</math></p>
 +
<p><math>\operatorname{R7c~:~P1a}</math></p>
 
|}
 
|}
 
|}
 
|}
Jon Awbrey
12,089

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