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2. Let f: A B be a function, {B}je a family of subsets of B. Prove that f-¹ (njej Bj) = njej f−¹(B₁).

2. Let f: A B be a function, {B}je a family of subsets of B. Prove that f-¹ (njej Bj) = njej f−¹(B₁).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 26E: 26. Let and. Prove that for any subset of T of .
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Let f A

2. Let f A B be a function, {Bj}jej a family of subsets of B. Prove that f-¹(nje B₁) = Njej f−¹(Bj).
Transcribed Image Text:2. Let f A B be a function, {Bj}jej a family of subsets of B. Prove that f-¹(nje B₁) = Njej f−¹(Bj).
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