## This is a section

This is an inline equation: \(x^2=-1\).

This is a centered equation: \[a^2+b^2=c^2.\]

This is a numbered equation: \[\begin{equation} \lim_{n\to\infty}\frac{1}{n}=0. \label{eq:sample} \end{equation}\]

This is an aligned equation: \[\begin{align} \int_{0}^{1}2x\,dx &=x^2\Big|_{x=0}^1\label{eq:sample2}\\ &=1 \end{align}\]

This is how to cite the above equation: \(\eqref{eq:sample}\) & \(\eqref{eq:sample2}\).

**Theorem 1**. *This is a theorem environment.*

**Corollary 2**. *This is a theorem-like environments.*

This is how to cite the above theorem: Theorem 1 & Corollary 2.

*Proof.* Here goes the proof. ◻

This is how to cite references: (Mac Lane, n.d.).

## References

Mac Lane, Saunders. n.d. *Categories for the working mathematician*. Vol. 5. Springer Science & Business Media.