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  Objects: a, b, c
  Functions: f, g

1 p => (q => r) Premise 2 p => q Assumption 3 p Assumption 4 q Implication Elimination 2 3 5 q => r Implication Elimination 1 3 6 r Implication Elimination 5 4 7 p => r Implication Introduction 3 6 8 (p => q) => (p => r) Implication Introduction 2 7