I am trying to say: Every a in A is in B

Is the following notation correct?

[(universal quantifier) a (epsilon) A] (epsilon) B

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- Jun 4th 2010, 11:53 AMNoxideNotation
I am trying to say: Every a in A is in B

Is the following notation correct?

[(universal quantifier) a (epsilon) A] (epsilon) B - Jun 4th 2010, 12:05 PMundefined
- Jun 4th 2010, 12:24 PMNoxide
- Jun 4th 2010, 12:36 PMundefined
You could read ":" aloud by simply pausing: "For all a in A, a in B." Or you could read it as "it is true that."

Here's another way.

if and only if

Edit: upon reflection, what I wrote above:

isn't precise enough, because is unspecified, thus the expression is not a sentence/proposition in the language (it cannot be assigned a truth value); we would still need the symbol, like I did in this post.