Prove a First Set Mapping

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  142399 Main property of the first Set Mapping Consider an arbitrary mapping f : X -> Y.

• Main property of the first set mapping

  140010 Main property of the first set mapping Consider an arbitrary mapping f : X --> Y. Prove the main property of the first set mapping: A_1 is a subset of A_2 implies that f(A_1) is a subset of f(A_2).

• The First Second Mapping

  Prove the main property of the second set mapping: f^(-1)(Ui Bi) = Ui f^(-1)(Bi) See the attached file. See the attached Word document for the solution.

• Consider an arbitrary mapping f : X -->Y. Suppose that f is a one-to-one onto. Prove the main property of the second set mapping: f^(-1)(Y) = X

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  142655 Prove the second set mapping if f is a one-to-one onto.

• Prove the Second Set Mapping: f^(-1) (B') = f^(-1) (B)'.

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• Mapping proof

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• Proving the Main Property of a Second Set Mapping

  Prove the main property of the second set mapping: B1 is a subset of B2 implies f^(-1)(B1) is a subset of f^(-1)(B2).

• Mappings, Homomorphisms and Subgroups

  Please attempt to give me some understanding of what a problem like this is asking me. How can a mapping be a normal subgroup? What is a mapping from G-->H ? Is the mapping a set or group? Any help you can give would be great!