$$
\text{\Huge \underline{Rance-approved} \quad \LaTeX \quad \text{test bench}} \quad \text{(certified by Helman)}
$$
$$
\textcolor{purple}{
\text{Let } \mathcal{H} \text{ be the space of } \heartsuit \text{-powered heroines} \quad \text{where } \dim(\mathcal{H}) = \infty
}
$$
$$
\text{Define } \mathbf{F}_{\text{Fumika}}(t) = \int_{0}^{t} \text{(trauma)} \cdot \mathrm{d}(\text{hope}) \quad \text{subject to } \lim_{t \to \infty} \mathbf{F}(t) = 0
$$
$$
\textbf{Theorem (Demon’s Roots Allegory):} \quad \exists! \, x \in \text{RebelSeed} \quad \text{s.t. } \quad x \equiv \text{edgy protagonist} \pmod{\text{horny war crimes}}
$$
$$
\text{Proof: Consider the cursed matrix } \mathbf{R} =
\begin{bmatrix}
\text{edge} & \text{lust} & \text{genocide} \\
0 & \text{Fumika} & \text{revenge} \\
420 & 666 & \text{Sill}
\end{bmatrix}
$$
$$
\text{Now compute } \det(\mathbf{R}) = \text{pure } \LaTeX \text{ suffering.}
$$
$$
\text{Rance's principle of maximal damage: } \quad \forall x \in \mathbb{H}, \quad \text{if } \text{Waifu}(x) = \text{loyal}, \Rightarrow \text{Rance}(x) = \text{bonk}
$$
$$
\boxed{
\int_{\text{Fumika}}^{\text{Rance}} \frac{\mathrm{d}x}{x^2 + \text{emotions}} = \text{mental collapse}
}
$$
$$
\text{Cursed identity:} \quad e^{i\pi} + 1 = 0 \Rightarrow \text{Fumika never deserved this}
$$
$$
\text{Corollary (Demon’s Roots Ending): } \quad \lim_{n \to \infty} \text{Choices}(n) = \text{regret}^n
$$[Expand Post]
$$
\therefore \quad \text{We conclude: } \quad \boxed{\text{ALL GIRLS DESERVED BETTER}} \quad \blacksquare
$$