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28) Let P(x, y) be a propositional function. Show that ∃x ∀y P(x, y) → ∀y...

28) Let P(x, y) be a propositional function. Show that ∃x ∀y P(x, y) → ∀y ∃x P(x, y) is a tautology.


29. Let P(x) and Q(x) be propositional functions. Show that ∃x (P(x) → Q(x)) and ∀x P(x) → ∃x Q(x) always have the same truth value.

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