# Proving the Main Property of a Second Set Mapping

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:

B1 is a subset of B2 implies f^(-1)(B1) is a subset of f^(-1)(B2).

See the attached file for formatted question.

© BrainMass Inc. brainmass.com October 9, 2019, 8:11 pm ad1c9bdddfhttps://brainmass.com/math/geometry-and-topology/142541

#### Solution Summary

This problem is mainly proving the main property of a second set mapping.

The solution is given in detail.

$2.19