A proof of a conjecture by Monin and Rana on equations defining ${\bar{M}}_{0,n}$

Monin and Rana conjectured a set of equations defining the image of the moduli space ${\bar{M}}_{0,n}$ under an embedding into ${\mathbb{P}}^1\times \cdots \times {\mathbb{P}}^{n-3}$ due to Keel and Tevelev and verified the conjecture for $n\le 8$ using Macaulay2. We prove this conjecture for all $n$.