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Write a logical proof to prove that the following argument is valid. (¬t ^ s) → ¬r (¬q V p) → s nt .. r V u

Write a logical proof to prove that the following argument is valid. (¬t ^ s) → ¬r (¬q V p) → s nt .. r V u

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 4TFE: Label each of the following statement as either true or false. only if
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Write a logical proof to prove that the following argument is valid. (¬t A s) → ¬r (¬q V p) → s nt .. r V u
Transcribed Image Text:Write a logical proof to prove that the following argument is valid. (¬t A s) → ¬r (¬q V p) → s nt .. r V u
Expert Solution
Step 1

To find- Write a logical prove that the following argument is valid.

¬t ∧ s→¬r¬q ∨ p→s¬tq→t∴¬r∨u

 

Rules of Inference Used- 

  • Modus Tollens: p→q¬q∴¬p
  • Addition: p∴p∨q
  • Modus Ponens: p→qp∴q
  • Conjunction: pq∴p∧q
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