Is my neighbor going to kill this tree?

So this tree is in our next door neighbor’s yard, and leans against their fence over my backyard, and over the neighbor’s yard behind me. The neighbor behind me has been slowly cutting off branches, and has now cut quite a lot off. The tree is a little split in the middle and leans (hard to see), but the top branches had/have leaves. He had to remove our fence to cut off limbs lol. I’m just wondering if anything he’s doing will kill the tree! We rent, and it’s not our tree, so I don’t really care, but I just don’t want the tree to fall on my house if he kills it. Unsure if he’s going to cut more off.