We showed that a function is in 
A kind of library
Andrés E. Caicedo
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Mathoverflow- Convergence of $\sum(n^3\sin^2n)^{-1}$
- Answer by Andrés E. Caicedo for Well known theorems that have not been proved
- Answer by Andrés E. Caicedo for Where is the Erdős–Rado theorem stated in Erdős and Rado's Bull AMS paper?
- Answer by Andrés E. Caicedo for The Erdős-Turán conjecture or the Erdős' conjecture?
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- On the division paradox
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- Answer by Andrés E. Caicedo for What is the cardinality of $A \times \mathbb N$ if $\left \lvert A \right \rvert \geq \aleph_0\ $?
- Answer by Andrés E. Caicedo for Any partition of an at most countable set has a set of representatives.
- Answer by Andrés E. Caicedo for Is the class of all sets that contain the empty set as element a proper class in ZF?
- Answer by Andrés E. Caicedo for cardinal exponentiation with lower cardinal
- Answer by Andrés E. Caicedo for $\beta > 0$ and $\alpha \cdot \beta = \beta \implies \alpha ^{\omega} \leq \beta$
- Does $|X|^m\cdot n^{|X|}\le (n+m)^{|X|}$ hold without choice?
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A kind of library 