1.
The prove of Two Propositions in Techniques in Fractal Geometry;
关于《分形几何中的技巧》中的两个命题的证明
2.
The proof of propositions embodies the importance of the theorem.
定理的重要性具体体现在命题的证明中。
3.
Some Proofs of One Proposition about Rank of Matrix and Its Generalization
关于幂等矩阵秩的一个命题的证明和推广
4.
The proving procedures of mathematical propositions construct the system deduced progressively from known conditions.
数学命题的证明步骤是由已知条件逐步推演形成的系统。
5.
Proofs of Some Propositions about Random Independence and Regressive Independence;
关于随机独立性和回归独立性的几个命题的证明
6.
The simple proof of the Steinhaus chessboard problem and it's equivalent proposition
Steinhaus棋盘问题的简单证明及其等价命题
7.
a subsidiary proposition that is assumed to be true in order to prove another proposition.
假定真实以便证明另一个命题的辅助命题。
8.
To demonstrate the validity of(a hypothesis or proposition).
验证说明（一个假设或命题）的正确性
9.
The Logical analysis and Judgment on the Proving Form of mathematical Propositions;
数学命题证明形式的逻辑分析和判定
10.
Excellent way of constructing auxiliary function in medium-value proposition proving;
中值命题证明中构造辅助函数的方法
11.
Different Demonstration and Generalization of a Classical Geometric Proposition
一道经典几何命题的多种证明与推广
12.
in logic: a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident.
逻辑学中；不能证明或反证的命题；其真实性是不证自明的。
13.
A subsidiary proposition assumed to be valid and used to demonstrate a principal proposition.
引理，辅助定理被认为是合理且被用于证明主要命题的次要命题
14.
(logic) of a proposition; necessarily true or logically certain.
（逻辑学）一个命题；必然真实的，可明确论证的。
15.
The Unified Definition of Limit of Simple Function and New Prove of Related Propositions;
一元函数极根的统一定义及有关命题的新证明
16.
The Proposition of Mathematical Analysis Proved through the definition
一道用定义证明的数学分析命题的拓广
17.
Establishing auxiliary function is the important meth od to testify median proposition.
构造辅助函数是证明中值命题的一种重要途径.
18.
a logical proof of a proposition by showing that its negation leads to a contradiction.
通过否定一个命题得出矛盾结果的逻辑证明。