Set Addition proof

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Prove that for any two sets we have the following: A∪B=A+B−A∩B Not sure what the + means here. Do i just add the two sets together including the duplicated elements?

Yes sorry it should be ∣A∪B∣=∣A∣+∣B∣−∣A∩B∣.Thanks Bernard for the correction

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I tyhink the correct formula is about the number of elements of the sets: $$\lvert A\cup B\rvert=\lvert A\rvert+\lvert B\rvert-\lvert A\cap B\rvert.$$