We want to prove that (P₁ ^ P₂). P₁ → (P2) is a valid argument. Fill in the justifications at each step. 1. ¬(P₁ ^ P₂) 2. P₁ 3. P2 4. Ρ. Δ Ρ2 5. (P₁ AP₂)^(-(P₁ ^ P₂)) 6. P2→ ((P₁ AP2) ^ (-(P₁ ^ P₂))) 7.-P₂ 8. P₁ → (P₂)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q6. We want to prove that (P₁ ^ P₂) . P₁ → (P₂) is a valid argument. Fill in the
justifications
at each step.
1. ¬(P₁ ^ P₂)
2. P₁
3. P2
4. Ρ1 Δ Ρ2
5. (P₁ ^ P₂) ^ (¬~(P₁ ^ P₂))
6. P₂ → ((P₁ ^ P₂)^(-(P₁ ^ P₂)))
7. ¬P2
8. P₁ (P₂)
Transcribed Image Text:Q6. We want to prove that (P₁ ^ P₂) . P₁ → (P₂) is a valid argument. Fill in the justifications at each step. 1. ¬(P₁ ^ P₂) 2. P₁ 3. P2 4. Ρ1 Δ Ρ2 5. (P₁ ^ P₂) ^ (¬~(P₁ ^ P₂)) 6. P₂ → ((P₁ ^ P₂)^(-(P₁ ^ P₂))) 7. ¬P2 8. P₁ (P₂)
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