Prove that cardinality is reflexive, i.e., show that a set has the same cardinality as itself.Prove that cardinality is transitive, i.e., show that if |A| “ |B| and |B| “ |C| then |A| “ |C|. 1. Prove that cardinality is reflexive,i.e., show that a set has the samecardinality as itself.2. Prove that cardinality is transitive,i.e., show that if |A|||B| = |C| then |A| = |C|.|B| and

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Prove that cardinality is reflexive, i.e., show that a set has the same cardinality as itself.
1. Prove that cardinality is transitive, i.e., show that if |A| “ |B| and |B| “ |C| then |A| “ |C|.

1. Prove that cardinality is reflexive,
i.e., show that a set has the same
cardinality as itself.
2. Prove that cardinality is transitive,
i.e., show that if |A||
|B| = |C| then |A| = |C|.
|B| and

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