# About Extension group in Category $\mathcal{O}^\mathfrak{p}$

Let $$M_I(\lambda)$$ be the generalized Verma module with highest weight $$\lambda$$, $$L(\lambda)$$ be the simple highest weight module with highest weight $$\lambda$$.

Suppose $$\mu\le \lambda\le \nu$$, does this implies $$\text{Ext}_{\mathcal{O}^\mathfrak{p}}(M_I(\mu),L(\lambda))$$ is a subspace of $$\text{Ext}_{\mathcal{O}^\mathfrak{p}}(M_I(\mu),L(\nu))$$?