Yes. Vegans eat (and usually use) nothing made from animals or their products. That would include eggs, milk, leather, and even honey.

On the other hand, vegetarians will describe themselves as "ovovegetarians" "lactovegetarians" and/or "pescovegtarian/pescetarian". This would be they're vegetarian but eat eggs; or eat milk products, or eat fish. One people often pick is ovo-lactovegetarian. These people could eat a good quiche. Ovo-lacto-pescetarians could enjoy a good salmon quiche. Matter of fact for the last it's easier to say what they don't eat than what they do: they don't eat pork, poultry, game, or red meat.

The Vegetarian Society considers those who eat fish, or who sometimes eat chicken, not true vegetarians, but "semi-vegetarians".
Source(s):
Several of my friends are varieties of vegetarians/vegans.

kidshealth.org/teen/food_fitness/nutrition/vegetarian.html

http://www.ivu.org/faq/definitions.html

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