The other child was injured because he bullied your child first, and he was partly responsible for his own injury; The swimming training center has the obligation to ensure the safety and management of children, and obviously fails to fulfill its due obligations, and should also bear the responsibility; Your child's behavior leads to the injury of the other child, and you also need to bear the responsibility. If you don't want to go to court, you can take it together through tripartite consultation. In addition, because one of the children of both parties is a person with no civil capacity at all and the other is a person with limited civil capacity, the swimming training center has a greater responsibility.
2. It is still recommended not to go to the court, because the court's trial cycle is long, time-consuming and labor-intensive. Civil arbitration is not easy, and the best way is to settle it through consultation. But everything should be based on the interests of children, and never give in for fear of trouble. In addition, it is recommended that you leave sufficient evidence [such as bruises on children caused by shoving (video recording is recommended), videos in swimming training, etc. ] Just in case.
3. Take good care of and comfort your children. Don't be too hard on him. Wait until his emotions calm down before educating him and teaching him how to deal with this kind of thing next time. I saw a book on Taobao some time ago, which seems to be called "Don't try to bully me", just right for your child's age. You can buy a book to tell him and interact with him as a parent.
I hope my answer is helpful to you.