应用区间套定理给出了拉格朗日中值定理一个新的证明。
A new way to prove Lagrange's mean value theorem is given using the theorem of interval nest.
对闭区间套定理的条件作一些变动或增加，可以得到相同的结论。
Change or increase some conditions of the theorem of interlink of close interval, we can reach the same result.
用数学分析中的区间套定理证明了闭区间上连续函数的四个定理。
Four theorems about continuous function on an closed interval are proved by a interval sequence theorem in mathematical analysis.
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