LeanAgent is an artificial intelligence system developed for proving mathematical theorems. The system employs a continuous learning approach that allows it to enhance its capabilities over time and adapt to new mathematical domains. This approach is based on three key components: curriculum-based learning, a dynamic database, and progressive training. LeanAgent has proven capable of solving complex mathematical theorems, even outperforming humans in some cases. The system has the potential to transform the way mathematical problems are approached and could have significant implications for the fields of education and research.