Displaying similar documents to “Predicative algebraic set theory.”

On the size of categories.

Freyd, Peter, Street, Ross (1995)

Theory and Applications of Categories [electronic only]

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Categorical Pullbacks

Marco Riccardi (2015)

Formalized Mathematics

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The main purpose of this article is to introduce the categorical concept of pullback in Mizar. In the first part of this article we redefine homsets, monomorphisms, epimorpshisms and isomorphisms [7] within a free-object category [1] and it is shown there that ordinal numbers can be considered as categories. Then the pullback is introduced in terms of its universal property and the Pullback Lemma is formalized [15]. In the last part of the article we formalize the pullback of functors...