All conditions are true for a certain range

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?

Char. Limit
Gold Member
Well, we have the symbol ∀, which means "for all".

So you would say...

t=5 ∀n

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