Mathematics · Predicate Logic
Which of the following is a valid inference rule in predicate calculus?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1From '∃x (P(x) ∧ Q(x))', infer '∀x P(x)'
- 2From '∃x P(x)', infer '∀x P(x)'
- 3From 'P(a) → Q(a)', infer '∀x (P(x) → Q(x))'
- 4From '∀x P(x)' and '∀x (P(x) → Q(x))', infer '∀x Q(x)'✓
Correct answer
From '∀x P(x)' and '∀x (P(x) → Q(x))', infer '∀x Q(x)'
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