While writing my book I forgot to settle the following conjecture:
Conjecture 
Note that the similar statement about reloids is quite obvious.
Math Research of Victor Porton
Algebraic General Topology, Axiomatic Theory of Formulas, (generalized) limit of arbitrary function
While writing my book I forgot to settle the following conjecture:
Conjecture
Note that the similar statement about reloids is quite obvious.
I have added this conjecture to the book.
See a counterexample to this conjecture at https://portonmath.wordpress.com/2017/10/15/a-counterexample-to-my-conjecture/