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how to prove closure math. If something is closed then it means that if we perform an operation on an two elements in a set then the result of the operation is also in the set. Given two vectors on the line we show the sum is on the line.
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A mathematical proof is an inferential argument for a mathematical statement showing that the stated assumptions logically guarantee the conclusionThe argument may use other previously established statements such as theorems. But there is an easier way to prove this problem. Understanding what it means for a set to be closed under an operation.
In topology and related areas of mathematics a subset A of a topological space X is called dense in X if every point x in X either belongs to A or is a limit point of A.
Given two vectors on the line we show the sum is on the line. S is closed under a unary. Here is a thorough proof for future inquirers. In mathematics a set is closed under an operation if performing that operation on members of the set always produces a member of that set.
