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Theorems · Definition · category theory

CategoryTheory.FinalModel

(J : Type u) → [inst : CategoryTheory.Category.{v, u} J] → [CategoryTheory.FinallySmall J] → Type w

An arbitrarily chosen small model for a finally small category.

Defined in
Mathlib.CategoryTheory.Limits.FinallySmall
Cited by
3 results in Mathlib
Foundations
Depth 8 from the axioms · uses Classical.choice
Assumes
CategoryTheory.CategoryCategoryTheory.FinallySmall
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.fromFinalModel · cited by 5CategoryTheory.fromFinalM…CategoryTheory.Limits.isIndObject_of_isFiltered_of_finallySmall · cited by 1Limits.isIndObject_of_isF…CategoryTheory.FinallySmall.exists_of_isFiltered · cited by 1FinallySmall.exists_of_is…CategoryTheory.FinalModel.congr_simp · cited by 0FinalModel.congr_simpCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.FinallySmall · cited by 16CategoryTheory.FinallySma…CategoryTheory.FinallySmall.final_smallCategory · cited by 0FinallySmall.final_smallC…CategoryTheory.FinalModelCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.