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At least one H+ ion, called proton, and one anion which remains when the proton is donated to a base or to a water molecule: H3O+ (hydronium) is formed, lowering pH of the water.

The above isn't actually wrong, though it's worth noting that that's actually a description of a particular type of acid (an Arrhenius or possibly Brønsted-Lowry acid). Lewis acids use a more general definition and are not required to contain any particular ion... any electron pair acceptor is a Lewis acid. (All Lewis acids are Brønsted acids, but not all Brønsted acids are Lewis acids.)

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