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, 21:40, 28 August 2008
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| | | [[Image:Logical_Graph_Figure_28.jpg|500px]] || (28) | | | [[Image:Logical_Graph_Figure_28.jpg|500px]] || (28) |
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| | ====C<sub>3</sub>. Dominant form theorem==== | | ====C<sub>3</sub>. Dominant form theorem==== |
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| | The third of the frequently used theorems of service to this survey is one that Spencer-Brown annotates as ''Consequence 3'' (C<sub>3</sub>), or ''Integration''. A better mnemonic might be ''dominance and recession theorem'' (DART), but perhaps the brevity of ''dominant form theorem'' (DFT) is sufficient reminder of its double-edged role in proofs. | | The third of the frequently used theorems of service to this survey is one that Spencer-Brown annotates as ''Consequence 3'' (C<sub>3</sub>), or ''Integration''. A better mnemonic might be ''dominance and recession theorem'' (DART), but perhaps the brevity of ''dominant form theorem'' (DFT) is sufficient reminder of its double-edged role in proofs. |
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| − | <pre>
| + | {| align="center" border="0" cellpadding="10" cellspacing="0" |
| − | o-----------------------------------------------------------o
| + | | [[Image:Logical_Graph_Figure_29.jpg|500px]] || (29) |
| − | | C_3. Dominant Form Theorem | | + | |} |
| − | o-----------------------------------------------------------o
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| − | | o o |
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| − | | a @ = @ |
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| − | o-----------------------------------------------------------o
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| − | | a( ) = ( ) | | |
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| − | o-----------------------------------------------------------o
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| − | | Remark <---- | ----> Recess |
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| − | o-----------------------------------------------------------o
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| − | </pre>
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| | Here is a proof of the Dominant Form Theorem. | | Here is a proof of the Dominant Form Theorem. |