The question asks to identify which statement is false. The statements appear to be written with mathematical operators or symbols, but some may involve uncommon notations.

Let’s break them down to check which one is false:

A) $4 \mid 16$: This uses the divisibility symbol, $\mid$, meaning "divides." The statement says 4 divides 16, which is true because $16 \div 4 = 4$.

B) $2 \not\mid 5$: This uses the same divisibility notation but with a negation ($\not\mid$), meaning "does not divide." It states that 2 does not divide 5, which is true because $5 \div 2$ is not an integer.

C) $1 \mid 5$: This means 1 divides 5, which is true because 1 divides every integer.

D) $7 \mid 0$: This means 7 divides 0. This is also true, because any non-zero integer divides 0 (as $0 \div 7 = 0$).

So, all statements are true, but upon reviewing them, it seems there is no false statement. Therefore, I believe there could be a typo or a misinterpretation in the question itself.

Would you like to go over any of these concepts or notations in more detail?

Follow-up questions:

1. What is the meaning of the divisibility notation $\mid$?
2. Can every number divide 0?
3. What are common examples of numbers that do not divide each other?
4. Is divisibility by 1 always true for all integers?
5. How does $\not\mid$ work in comparison to $\mid$?

Tip: In divisibility, always remember that 0 can be divided by any number except 0 itself.