## 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: $$$\lim_{n\to\infty}\frac{1}{n}=0. \label{eq:sample}$$$

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.