Lab-grown 'real' cheese made without milk

The SF-based iGEM group say it’s made from baker’s yeast. The team is able to make cheese proteins using genetic sequences found in mammals, inserting the DNA blueprints into the aforementioned yeast, and it’s all vegan-compatible because it doesn’t need animal products to make the proteins.

In what sense are “genetic sequences found in mammals” not animal products? I guess it depends on how much of a purist a given vegan is? Or maybe I really don’t understand the whole vegan culture at all.