This → P-2.3. is a link to a section

This is a theorem for einstein $$ e=mc^2 $$ some other equation with a new tag

$$ \pi = \sum_k \pi_k^{\theta_k} \notag$$

(P-0.1)

See Proof of theorem P-0.1

$$ \pi = \sum_k \pi_k^{\theta_k}\\\notag$$

(P-0.2)

$$\int_0^\infty e^{-x^2} dx = \frac{\sqrt{\pi}}{2} \notag$$

(P-0.3)

P-1. A section with spaces

P-2. Anoter section with spaces

P-2.0.0.0.0.1. Anoter section with spaces

P-2.1. firstsubsection

bold header

P-2.2. This is a named section with spaces

This is a definition labeled by subsection We define the coco $$ c = \sum_i \theta_i\eta_i\label{the:coco:eq} $$

P-0.1 P-2.1

This is a crappy proof of the theorem. Use $\eqref{the:coco:eq}$ to show that

$$ A = \sqrt{\sum_i\sum_j f_i(a_i,\beta_j)} \notag$$

(P-2.4)

some text here.

$$ \pi = \sum_k \pi_k^{\theta_k} \notag$$

(P-2.5)

And if I add this

P-2.3. othersubsection

P-2.3.1. other-other-subsection

P-2.3.1.1. other-other-subsubsection

This is a theorem for einstein $$ e^x = \sum_{k=0}^\infty \frac{x^k}{k!} $$ some other equation with a new tag

$$ f(x) = \sum_k a_k x^k \notag$$

(P-2.6)

See Proof of theorem P-2.2

This is a crappy proof of the theorem. Use $\eqref{the:coco:eq}$ to show that

$$ B = \sum_\ell \sqrt{\sum_i\sum_j f_i(\frac{a_i}{s_\ell},\beta_j)}^3 \notag$$

(P-2.7a)

some text here.

$$ \pi = \sum_k \pi_k^{\theta_k} \notag$$

(P-2.7b)

P-1.

This is a repeated theorem:

This is a repeated equation:

Proof of theorem P-0.1

P-2.4.

P-2.4.2.

$$ E = mc^2 \\\notag$$

(P-2.7a)

$$\\ F = ma \\\notag$$

(P-2.7b)

$$ a^2 + b^2 = c^2 \notag$$

(P-2.7c)

$$ x = y + z \notag$$

(P-2.7)

P-2.7c P-2.7b