THEOREM

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     A & B => [A => B]  (Truth Table, Line 1)

 

PROOF

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    Suppose...

 

      1     A & B

            Premise

 

         Suppose...

 

            2     A

                  Premise

 

            3     A

                  Split, 1

 

            4     B

                  Split, 1

 

    Apply Conclusion Rule (Direct Proof)

 

      5     A => B

            4 Conclusion, 2

 

Apply Conclusion Rule (Direct Proof)

 

As Required:

 

6     A & B => [A => B]

      4 Conclusion, 1

 

 

 

 

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