anyone know how to explain Modular additon and congruent modulo m?

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anyone know how to explain Modular additon and congruent modulo m?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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a and b are congruent modulo m \(\iff \exists k \text{, such that } km = a-b\)
oh, \(k \in \mathbb{Z}\)
ok im sorry but, i didnt understand any of that. ive never seen those symbols, still having trouble comprehending

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Other answers:

I just means that \(\frac{(a-b)}{m}\) will be an integer.
I know the E written on the bottom stands for element
\(\exists \) means "There exists". \(\iff\) means "if and only if".

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