What is closure property in math? Prove that a subset of \mathbb{R}^n is open if and only if it can be written as a union of open balls. How do you prove a set is well ordered? How to tell if a set is closed under addition? Prove that if f_n \rightarrow f uniformly on a...
By associativity of addition, this is equivalent to writing (-a+a) +b = (-a+a)+c Thus by axiom (AI) we have that 0+b= 0 + c Finally, by axiom (Z), we conclude b = c. Axioms for Fields (CI) Closure: For a, b eR, ...