Question: Prove the following: a. AA b. (( AB)A)((BA)B) c. ( A B)(AB)

Prove the following:

a. ⊢ A→A

b. ⊢(( ¬A→¬B)→A)→((¬B→¬A)→¬B)

c. ⊢(¬ ¬ ¬A→¬ ¬ ¬B)→(¬A→¬B)

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