Problem 4. Let A, B, C be arbitrary sets. Prove or disprove: If there is a bijection f: A → B and there is a bijection g: AC, then there is a bijection h: B→ C.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.3: Properties Of Composite Mappings (optional)
Problem 2TFE: Label each of the following statements as either true or false. The composition of two bijections is...
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Problem 4. Let A, B, C be arbitrary sets. Prove or disprove: If there is a bijection f: A → B and there is a
bijection g: AC, then there is a bijection h: B→ C.
Transcribed Image Text:Problem 4. Let A, B, C be arbitrary sets. Prove or disprove: If there is a bijection f: A → B and there is a bijection g: AC, then there is a bijection h: B→ C.
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