The word **hence** is commonly used in mathematics to refer to a logical consequence of something that has been previously stated. It is often used when proving a theorem or making a mathematical argument. In simple terms, it means that something is true because of something else that has already been established.

The use of the word **hence** is often used to make a connection between two different statements or ideas. For example, if one statement is established as true, then the other statement can be said to be true *hence*. This is because the first statement has already been proven to be true, so it logically follows that the second statement is also true.

In mathematics, the word **hence** is often used to refer to a logical consequence of something that has been previously stated. This is because the statement or idea that has been previously established is assumed to be true, and the statement that follows is assumed to be true as a result. This is a common way of making an argument in mathematics, as it allows the proof of a theorem to be established without having to go into too much detail.

The word **hence** is also used to refer to a conclusion that has been reached as a result of a previous argument or proof. In this case, the conclusion is assumed to be true because of the argument or proof that has been made. This is often used when proving a theorem or making a mathematical argument. For example, if a theorem has been proven, then the conclusion can be said to be true *hence*.

In summary, the word **hence** is commonly used in mathematics to refer to a logical consequence of something that has been previously stated. It is often used when making a mathematical argument or proving a theorem, as it allows the proof of a theorem to be established without having to go into too much detail. It can also be used to refer to a conclusion that has been reached as a result of a previous argument or proof.