Hi,

I'm hoping someone can help me with proving the following statement: $\forall x \in\mathbb{R}, P(x) \Rightarrow \forall y \in\mathbb{R}, P(y)$.

First, I assume $\forall x \in\mathbb{R}, P(x)$.

Then I say "Let $y\in\mathbb{R}.$"

..... how do I finish this proof?

It is clear to me that this statement is true. I can't say P(y) is true because x = y, since x is not a defined value. I would really appreciate help!!!!