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.
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
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44f7125f-da98-45bb-9efd-74cbbf291a29%2F398ed78f-8776-466f-a237-ece23dfb15e0%2Fiwqnnh9_processed.png&w=3840&q=75)
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.
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