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Prove the following using RULES of INFERENCE/REPLACEMENT: 1. P → Q 2. R → S 3. ﬢQ ۷ ﬢS Therefore: ﬢP ۷ ﬢR

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

Prove the following using RULES of INFERENCE/REPLACEMENT:

1. P → Q

2. R → S

3. ﬢQ ۷ ﬢS

Therefore: ﬢP ۷ ﬢR

Please use the different rules of inference: Addition, conjunction, simplification, modus ponens, modus tolens, etc.

The different rules of replacement: Idemptotence, commutativity, associativity, etc.

Formula Formula d d x f − g = d d x ( f ) − d d x ( g )

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