(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
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(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
Transcribed Image Text:(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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