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Show that the following formula is not valid (hint: write an interpretation that makes it false) Vx (A(x) V B(x)) → Vx A(x) V Vx B(x)

Show that the following formula is not valid (hint: write an interpretation that makes it false) Vx (A(x) V B(x)) → Vx A(x) V Vx B(x)

Database System Concepts
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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**Question:** Show that the following formula is not valid (hint: write an interpretation that makes it false) \[ \forall x \, (A(x) \lor B(x)) \rightarrow \forall x \, A(x) \lor \forall x \, B(x) \]
Transcribed Image Text:**Question:** Show that the following formula is not valid (hint: write an interpretation that makes it false) \[ \forall x \, (A(x) \lor B(x)) \rightarrow \forall x \, A(x) \lor \forall x \, B(x) \]
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