Hi So I am learning about sets and I wanted to know if these definitions was correct, specifically the properties of sets under operations, and I had a question. please help. The closure property: A set has closure under an operation if the result of combining ANY TWO elements under that operation is another element of the set. The identity property: A set has identity under an operation if the result of combining ANY OTHER element with one element, results in the first element itself. The element is known as the identity element under that operation. The inverse property: A set has an inverse property under an operation if the result of combining ANY OTHER ELEMENT with that element results in the identity element of that set for that operation. If the closure property applies to any two, can it also to all? if the set is infinite?