theorem if Yet, I think I

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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Question
2.
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[a] F (Vx)A[x]:
1) A[a]
2) (Væ)A[x] (1 + Gen)
(hyp)
Something must be wrong in my “PROOF"! What EXACTLY
Transcribed Image Text:2. 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[a] F (Vx)A[x]: 1) A[a] 2) (Væ)A[x] (1 + Gen) (hyp) Something must be wrong in my “PROOF"! What EXACTLY
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