Firstly, we construct the conditional system AKC with double conditions for aim and background knowledge, give some results of its proof theory.

首先，我们构造以目的和背景知识为双条件的条件句系统akc，给出它的一些证明论结果。

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Wenxue li put forward a sufficient condition of conditional extreme value with Lagrange function but his proof is wrong.

摘要李文学用拉格朗日函数提出求条件极值的充分条件，但他的证明却是错误的。

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Firstly, we construct the dynamic epistemic conditional system DEC1, give some results of its proof theory.

首先，我们构造动态认知条件句系统DEC1，给出它的一些证明论结果。

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