Answered: (a) Show that (Vx)(A → B) – (3x)A → B,…

(a) Show that (Vx)(A → B) – (3x)A → B, provided x does not appear free in B. (b) Suppose f is a unary function symbol and c is a constant symbol. Prove that Fx = y → f(x)= c= f(y) = c

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

(a) Show that (x)(A → B) E (3x)A → B, provided x does not appear free in B.
(b) Suppose f is a unary function symbol and c is a constant symbol. Prove that
Fx = y → f(x)= c = f(y) = c

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