(P → (Q v R)) –| |– (P → Q) v (P → R) PHIL 2303 Logic. 8.5. Tautologies and Equivalences. Practice Exercise Question B2. I'm struggling on how to solve this by means of a method of subproofs and negation rules. Use natural deduction for this. This is the only question left I have on the homework. First, prove: P → (Q v R) |– (P → Q) v (P → R) And then prove the other side: (P → Q) v (P → R) |– (P → (Q v R))
(P → (Q v R)) –| |– (P → Q) v (P → R) PHIL 2303 Logic. 8.5. Tautologies and Equivalences. Practice Exercise Question B2. I'm struggling on how to solve this by means of a method of subproofs and negation rules. Use natural deduction for this. This is the only question left I have on the homework. First, prove: P → (Q v R) |– (P → Q) v (P → R) And then prove the other side: (P → Q) v (P → R) |– (P → (Q v R))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(P → (Q v R)) –| |– (P → Q) v (P → R)
PHIL 2303 Logic. 8.5. Tautologies and Equivalences. Practice Exercise Question B2.
I'm struggling on how to solve this by means of a method of subproofs and negation rules. Use natural deduction for this. This is the only question left I have on the homework.
First, prove:
- P → (Q v R) |– (P → Q) v (P → R)
And then prove the other side:
- (P → Q) v (P → R) |– (P → (Q v R))
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