The problem asks to find the equivalent implication of $x \implies y$.

1. Problem Description

The problem asks to find the equivalent implication of $x \implies y$.

2. Solution Steps

The contrapositive of the implication $x \implies y$ is $\neg y \implies \neg x$.

This means "if not $y$, then not $x$". An implication and its contrapositive are logically equivalent.

Now let's analyze the given options:

A. $\neg y \implies \neg x$. This is the contrapositive and therefore the correct answer.

B. $y \implies \neg x$. This is the inverse.

C. $\neg x \implies \neg y$. This is the converse.

D. $y \implies x$. This is the converse.

3. Final Answer

A. $\neg y \implies \neg x$