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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.

enter image description here

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

enter image description here

as "the other hand"?

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

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    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".
    – trisct
    Aug 10, 2019 at 1:08

1 Answer 1

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You may use "conversely":

If n is even then n squared is also even. Conversely, if n-squared is even, then n is even.

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  • Thanks for your answer. "If n is even then n squared is also even" seems to not to be a true proposition, consider 6 is even ...
    – JJJohn
    Aug 9, 2019 at 22:54
  • so 36 is also even... however the correctness or not of my maths doesn't affect the choice of word.
    – James K
    Aug 9, 2019 at 22:55
  • You are right, I've accepted and upvoted it. Would please take a look at this one
    – JJJohn
    Aug 9, 2019 at 23:01

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