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The category theory provides possibilities to model many important features of computer science. We used the symmetric monoidal closed category for the construction of a model of linear type theory. Toposes as specific categories make it possible to model theories over types. In this article we prove that topos is symmetric monoidal closed category. This fact will allow us to use topos in the role of symmetric monoidal closed category for construction of the models of the type theory.

Toposes are symmetric monoidal closed categories