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1. True or false: The two propositions

∃ x ∈ N . ∀ y ∈ N . P(x,y)

∀ y ∈ N . ∃ x ∈ N . P(x,y)

If you think this is true, give a brief explanation. If you think this is false, give an example of P(x,y) for which the two propositions are not equivalent.