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What is the significance of proving mathematical theorems to the development of mathematics?
The proof of mathematical theorems is of great significance to the development of mathematics. First of all, theorem proving is the basis of mathematical knowledge system, which ensures the rigor and reliability of mathematical theory. Through proof, we can deduce new conclusions from known facts and axioms, thus expanding the knowledge boundary of mathematics.

Secondly, the proof of the theorem is helpful to improve the thinking ability and innovation ability of mathematicians. In the process of proof, mathematicians need to use strict logical reasoning, induction and deduction, which is of great significance to cultivate mathematicians' abstract thinking, logical thinking and innovative thinking ability. At the same time, the difficulties and challenges that may be encountered in the process of proving will also stimulate the innovative spirit of mathematicians and promote the development of mathematical theory.

In addition, the proof of the theorem is helpful to deepen people's understanding of mathematical concepts and principles. Through the process of proof, we can understand the connection and difference between mathematical concepts more clearly, so as to master mathematical knowledge better. At the same time, some methods and skills in the process of proof can also provide reference and enlightenment for solving other mathematical problems.

Finally, the proof of the theorem also plays an important role in the application and development of mathematics in other disciplines. Many mathematical theorems are widely used in physics, chemistry, biology and other disciplines, and these applications often require in-depth research and understanding of theorems. By proving the theorem, we can better grasp its connotation and application scope, thus promoting the development of related disciplines.

In a word, the proof of mathematical theorems is of great significance to the development of mathematics. It is not only the foundation of mathematical knowledge system, but also the way to improve mathematicians' thinking ability and innovation ability. At the same time, it is helpful to deepen people's understanding of mathematical concepts and principles and promote the application and development of mathematics in other disciplines.