hink Vr)A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.
We learnt in class/Notes that A[x] → (Vx)A[x] is NOT a
theorem if 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]:
(hyp)
1) A[a]
2) (Vx)A[a] (1 + Gen)
Something must be wrong in my "PROOF"! What EXACTLY (not too
many words please and above all don't say "it's not a theorem"!)
Transcribed Image Text:2. We learnt in class/Notes that A[x] → (Vx)A[x] is NOT a theorem if 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]: (hyp) 1) A[a] 2) (Vx)A[a] (1 + Gen) Something must be wrong in my "PROOF"! What EXACTLY (not too many words please and above all don't say "it's not a theorem"!)
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