All conditions are true for a certain range

[Hypercubes]

How do you specify, in mathematical notation, that a condition is true for all cases?

For example, I want to say that $$t=5$$ for every value of $$n$$. Basically like $$\lim_{n\to\infty}{t=5}$$, but instead for every value of $$n$$, not just as $$n$$ approaches infinity. Also, how to specify the range of $$n$$ values for which the condition is true?

Thanks in advance.

 

[Char. Limit]

Well, we have the symbol ∀, which means "for all".

So you would say...

t=5 ∀n

 

[HallsofIvy]

I assume that is an example- it doesn't make sense to say that a statement, that does not involve n, is "true for all n".

But just "for all n, $n^2\ge 0$" will work or, as Char limit said, ∀n, $n^2\ge 0$.

 

[Hypercubes]

Yeah, it was just an example.

Thanks for the help!