不难利用归纳法证明上面两个性质。
It is not hard to prove the above two properties by induction.
作出归纳法假设，进行简单的归纳法证明。
Synthesize induction hypotheses and simple induction proofs.
利用数学归纳法证明了一个关于正值函数的不等式，并举例说明了其应用。
This paper proves an inequality based on a positive function with mathematical induction and demonstrates its application with examples.
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