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This statement: [(p → q)   ↔   (¬ p ∨ q) ] is tautologyGroup startsTrue or False

Question

This statement: [(p → q)   ↔   (¬ p ∨ q) ] is tautologyGroup startsTrue or False

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Solution

True. The statement [(p → q) ↔ (¬ p ∨ q)] is a tautology. This is a fundamental law of logic known as the Implication Law or Material Implication. It states that a statement "p implies q" is logically equivalent to "not p or q". So, regardless of the truth values of p and q, the entire statement will always be true, making it a tautology.

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