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Just wondering if there is a word for using the same equality/information multiple times in for example a proof. Why I'm asking is since I was correcting a proof by a friend and noticed they used the same equality twice, which made the proof insufficient. Then I just started wondering if there is a word for this kinda regular phenomea, does anyone know a good word/phrase for it?

Example:

Prove: x=z

Proof: Since x=y we have...

...Long proof...

Now using x=y we have that

...

I understand that this may not always be a mistake, but often it is. Just wondering if there is a good word/phrase for it.

Oscar
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