Let's break down the statement you provided:

• $Zx \in \mathbb{N}$ and $Vy \in \mathbb{N}$: This seems to express that both $Zx$ and $Vy$ are in the set of natural numbers ($\mathbb{N}$).
• $y > x^2$: The relationship given between $y$ and $x^2$ states that $y$ must be greater than $x^2$.

However, the use of $Zx$ and $Vy$ in this context appears to be unusual or unclear. These could be placeholders for more common mathematical terms, like quantifiers. Let's interpret these as logical quantifiers:

• $\forall x \in \mathbb{N}$ (for all $x \in \mathbb{N}$),
• $\exists y \in \mathbb{N}$ (there exists $y \in \mathbb{N}$),

Thus, the question becomes: "Is it true that for all $x \in \mathbb{N}$, there exists $y \in \mathbb{N}$ such that $y > x^2$?"

Answer:

Yes, this is true. For any natural number $x$, we can always find a natural number $y$ such that $y > x^2$. In fact, for any $x$, choosing $y = x^2 + 1$ ensures that $y$ is a natural number and greater than $x^2$.

Would you like further clarification or details?

Here are 5 related questions:

1. What is the role of quantifiers like $\forall$ (for all) and $\exists$ (there exists) in logic?
2. How can you formally prove the existence of $y > x^2$ for all $x \in \mathbb{N}$?
3. Can you provide other examples of inequalities involving natural numbers?
4. What are the properties of natural numbers that make this inequality always true?
5. How does the difference between $y$ and $x^2$ grow as $x$ increases?

Tip: Always check if mathematical symbols are used as intended, especially in logic and quantifier-based statements.