The Third Isomorphism Theorem states that
Let $K$ and $H$ be two normal subgroups of group $G$ such that $K\leq H$. Then $G/H\cong (G/K)/(H/K)$.
Let $K_1$ and $K_2$ be two normal subgroups of $G$ such that $K_1,K_2\leq H$. Then shouldn't be the following be true? $$G/H\cong (G/K_1)/(H/K_2)$$ or $$G/H\cong (G/K_2)/(H/K_1)$$ Is the Third Isomorphism theorem just a generalisation of this?
Thanks in advance!