After adjoining a unary function symbol , injectivity, surjectivity, preservation of each operation, and preservation in both directions of each relation form an axiom scheme whose models interpret as an automorphism.

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  1. Automorphism of a first-order structure
  2. First-order structure
  3. First-order logic
  4. Mathematical logic
  5. Foundations of mathematics
  6. Area of mathematics
  7. Mathematics
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