In any six different non-zero natural numbers, the difference between at least two numbers is a multiple of 5. Why?

Let the smallest number be X. if the difference between the other five numbers and X is not a multiple of 5, then the difference between these five numbers and X is either a multiple of 5 minus 1, or a multiple of 5 minus 2, or a multiple of 5 minus 3, or a multiple of 5 minus 4,
It is certain that the difference between at least two numbers and X is a multiple of 5 minus y (y is any one of 1,2,3,4), then the difference between the two numbers must be a multiple of 5

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