We learnt in class/Notes that A[x] → (Vx)A[x] is NOT a theorem if x indeed occurs free in A. Yet, I think I got a proof: First, let me use DThm and prove instead A[x] F (Vx)A[x]: 1) A[x] 2) (Vz)A[r] (1+ Gen) (hyp) 2.

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
icon
Related questions
Question
We learnt in class/Notes that A[x] → (Vx)A[x] is NOT a
theorem if x indeed occurs free in A.
Yet, I think I got a proof: First, let me use DThm and prove instead
A[c] F (Væ)A[c]:
1) A[a]
2) (Vx)A[a] (1+ Gen)
(hуp)
Something must be wrong in my "PROOF"! What EXACTLY (not to0
many words please and above all don't say "it's not a theorem"!)
2.
Transcribed Image Text:We learnt in class/Notes that A[x] → (Vx)A[x] is NOT a theorem if x indeed occurs free in A. Yet, I think I got a proof: First, let me use DThm and prove instead A[c] F (Væ)A[c]: 1) A[a] 2) (Vx)A[a] (1+ Gen) (hуp) Something must be wrong in my "PROOF"! What EXACTLY (not to0 many words please and above all don't say "it's not a theorem"!) 2.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Eight puzzle problem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education