Heine theorem and the continuity theorem of inverse function are two important ones. This paper tries to describe them and makes some imporvcmcnts in order to appil them conveniently.

• 海涅(Heine)定理及反函数连续性定理是数学分析中的两个重要定理,本文试图对它们的描述加以改进,以方便应用。