Computer Sciences > GATE 2023 > Discrete Mathematics
Geetha has a conjecture about integers, which is of the form
∀x(P(x)⇒∃yQ(x,y)),
where P is a statement about integers, and Q is a statement about pairs of integers. Which of the following (one or more) option(s) would imply Geetha's conjecture?
A
∃x(P(x)∧∀yQ(x,y))
B
∀x∀yQ(x,y)
C
∃y∀x(P(x)⇒Q(x,y))
D
∃x(P(x)∧∃yQ(x,y))

Correct : b,c

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