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  Objects: a, b, c
  Functions: f, g

1 p Premise 2 ~p Premise 3 ~q Assumption 4 p Reiteration 1 5 ~q => p Implication Introduction 3 4 6 ~q Assumption 7 ~p Reiteration 2 8 ~q => ~p Implication Introduction 6 7 9 ~~q Negation Introduction 5 8 10 q Negation Elimination 9