Abstract Algebra: Theory and Applications · Problem 1.16

Preliminaries — Thomas Judson

Mathematics — Abstract Algebra · equivalence-relations

Problem

Let f:A→Bf : A \to B be a function and let {Bi}\{B_i\} be a partition of BB. Prove that {f−1(Bi)}\{f^{-1}(B_i)\} is a partition of AA.

Related theory

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