  # kavlas

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Lepton
1. If you consider ~$A\in A$ as an axiom then how would you prove whether $A\in B$ and $B\in A$ is true or false?
2. I did not ask why ,but how can statements along a proof be demonstrated to be true. Any way thanks for the help so far. I did a google journey but it was not very satisfactory. Everything is so obscure and not very clear w.r.t the mechanisms of a proof. I wander is it so difficult to really analyse a mathematical proof?? I also wander what are the constituents of a mathematical proof
3. yes but you do not show how: $-M\leq -|M_{2}|$? Also how do you know that:$M_{2} \leq -|a|$ ??
4. If we accept that the the axiom of regularity doe not allow that,how do we then prove that. I mean how do we prove that: ~$A\in A$
5. I DID not define A = {x : ~xεx } SO i am not asking for the Russel's Paradox. I am simply asking if we can prove that $A \in A$ is true or false
6. But in real Nos zero is not defined as you mention in your second line of proof. How do you define "-" in real Nos. I know that "-" in real Nos is defined by the equation : x+(-y) = x-y
7. To find the above limit you need the following theorem: $lim_{x\to\infty} f(x)=m\Longrightarrow lim_{x\to\infty} [f(x)]^n = m^n$ for all natural Nos n
8. Apart from the assumption that a=0,i am sorry ,but i cannot see any other assumptions for E. Please ,explain
9. You mean that the problem ,apart from the proof, is not correct. Because let us suppose that: E ={1/n : nεN},then the 2nd sequence $y_{n}=\frac{2}{n}$ does not lie in E . So unless we specify E the problem is not provable. The proof is not mine ,it was suggested to me ,as i noted in the OP
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