Give a formal proof that A B Let A be the set of all dogs b

Give a formal proof that A = B:
Let A be the set of all dogs bred to hunt badgers
Let B be the set of all dogs who are Dachshunds
And use the following

Solution

1) To hunt badgers, digging skill is required.

2) Dachshund dogs are good at digging

3) Good digging dogs are Dachshund