The so incomprehensible problem with generally all academic people (not necessarily the poorest minds of mathematicians or magicians) that the self-proved statement doesn't need any proof and any moron of them can simply prove it to his students in just a few minutes for sure
And like unbelievable idiots, they keep asking for proofs, as if they know the true meaning of the word proof even in their own languages for sure
They are so simply very big slaves and mere stupid victims for Very old human definitions which are in fact mere decisions but so unfortunately very wrong decisions FOR SURE
And the whole mathematics become then for them as a matter of fanatic opinions and pure stupid religion were the earthy religions would be too shameful to go with their so unbelievable stupidities FOR SURE
And their utter arguments like their greatest shit ideals, where they would tell you for example (Cantor, Godel, Galois, Able, Eulier, Raffani, Cauchy, Dedekind, ... and alike) said so and so ...etc
But we know that nowadays that those many idols turned to be truly very big idiots in such matters about never understanding truly the real existing numbers
I'm quite sure that every academic professional mathematician and alike well-understand the core issue not less than (99.999%) of what we do teach them freely here strictly on sci. math (immoderate site for all free knowledge)
But what is important for them is only not to be proven idiots since they had never understood these mere facts by themselves first
No, don't ever think so, you aren't any idiots academic (mathematicians, pure physicians, logicians, philosophers, ..., etc)
You were simply mere victims of old inherited wrong global education by your alleged best scientific institutions in your fields, and have been cheated mercilessly to your inner bones since your early childhood, despite the fact that you have learnt much true mathematics but mixed with that poisoned math for sure
Now, you realized where you do stand and don't teach the wrong matter to school kids again
Good luck
BKK