:* [[Logical_graph#C3._Dominant_form_theorem|C<sub>3</sub>. Dominant Form Theorem]]
:* [[Logical_graph#C3._Dominant_form_theorem|C<sub>3</sub>. Dominant Form Theorem]]
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In my experience with a number of different propositional calculi, the logical graph picture is almost always the best way to see ''why'' a theorem is true. In the example at hand, most of the work was already done by the time we wrote down the problem in logical graph form. All that remained was to see the application of the generation theorem to the left hand side and the application of the double negation theorem to the right hand side of the equation.
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In my experience with a variety of propositional calculi, the logical graph picture is almost always the best way to see ''why'' a theorem is true. In the example at hand, most of the work was already done by the time we wrote down the problem in logical graph form. All that remained was to see the application of the generation and double negation theorems to the left and right sides of the equation, respectively.