Fair point, but you know very well that, for true illustration, you'd have to expand out the meaning of the words "countable", "regular", "Hausdorff", "space" and "metrizable". And I bet you could. I get the sense you're being obstinate for a point.
And don't forget the word "second". I'd have to explain that one too.
And then I'd have to explain the words I used to explain these words.
It all just takes a while. I might be able to do it, but we'd both need to spend some time understanding all of this together, going back and forth, considering examples, and building the foundations.
