The_Simplification_of_the_Induction_Conclusion__lparen_Step_5_rparen_.html -- ACL2 Version 6.3

## the Simplification of the Induction Conclusion (Step 5)

    Subgoal *1/2'
    (IMPLIES (AND (CONSP A)
                  (EQUAL (APP (APP (CDR A) B) C)
                         (APP (CDR A) (APP B C))))
             (EQUAL (IF T
                        (CONS (CAR (CONS (CAR A) (APP (CDR A) B)))
                              (APP (CDR (CONS (CAR A) (APP (CDR A) B)))
                                   C))
                        C)
                    (APP A (APP B C)))).

Click on the link above to apply the Axiom `(CAR (CONS x y)) = x`.