<human>: Background: We are new to the neighborhood and put up a fence for our dogs so that they can run around and play. The fence is set back about 6 feet off of our property line. 

Many of the dog owners in our neighborhood do not take any precautions to restrain their dogs (no fences, no leashes, no invisible fence, nothing) and occasionally, their dogs will run onto our property and right up to our fence. The bars between the fence are far enough apart that one of our dogs can stick her snout through. 

Last night: it was a cool evening, so I left the sliding glass door open so that the dogs could run in and out and play and I wouldn't be spending a ton on AC. I hear some growling and come out to see the neighbor whose backyard butts up to mine right at the fence, holding her dog. She sees me and immediately yells, "are your dogs up to date on their shots? Because THAT ONE bit my dog!" I apologize and say, "I'm sorry, she just gets nervous around other dogs sometimes." This woman continues to yell, while her dog walks around like nothing happened and all I say is, "well it was great to meet you," and I bring my dogs inside. 

Now obviously, nothing major happened in this situation, but I'm curious to know what would happen if my dog were to get her teeth on another dog and break skin or cause more serious injury, especially since many dog owners allow their dogs to run in the neighborhood. 

Is the other owner negligent since she doesn't leash or restrain her dogs? Am I covered because I took precautions by putting up a fence? Does it matter that her dog came onto my property and may have provoked my dog? What would be the consequences if I were liable? 

I know that Michigan is a strict liability state and that if this were a person, I should be okay since they would be trespassing, but I'm having a hard time finding anything about a dog biting a dog on the biting dog's property. Thanks in advance for the help.

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<bot>: dog runs up to my fence very clearly on my property, my dog bites their dog through fence. What would be the consequences?