# Given "A implies B", is "B implies A" "the other hand" or "the other side"?

I asked a question just now, where

`x = 2` `x² = 4` is true

where "" means "implies", `x = 2` "implies" `x² = 4`,

on the other hand, `x² = 4` does not "imply" `x = 2` in general, where the counterexample is `x = -2`

This is an "image version", since ell.stackexchange does not support Tex command.

In that question, is it reasonable to say "B implies A" or

as "the other hand"?

Is "the other side" or some other expression better?

• In addition to conversely, you may also use the converse (a noun) to refer to the proposition you mentioned, e.g. "x=2 implies x^2=4, but the converse is not true". Aug 10, 2019 at 1:08