Theorems · Inductive type · category theory
CategoryTheory.FinCategory
(J : Type v) → [CategoryTheory.SmallCategory J] → Type v
A category with a Fintype of objects, and a Fintype for each morphism space.
- Defined in
- Mathlib.CategoryTheory.FinCategory.Basic
- Cited by
- 107 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- CategoryTheory.SmallCategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.SmallCategorystatement · cited by 480
Cited by175
Results whose statement or proof uses this declaration.
- CategoryTheory.isFiltered_of_isCardinalFilteredproof · cited by 18
- CategoryTheory.FinCategory.equivAsTypestatement and proof · cited by 5
- CategoryTheory.Functor.preservesFiniteLimits_tfaeproof · cited by 5
- CategoryTheory.Limits.CompleteLattice.finiteColimitCoconestatement and proof · cited by 5
- CategoryTheory.Limits.CompleteLattice.finiteLimitConestatement and proof · cited by 5
- CategoryTheory.Functor.preservesFiniteColimits_tfaeproof · cited by 4
- CategoryTheory.Limits.preservesFiniteLimits_of_natIsoproof · cited by 4
- CategoryTheory.Limits.preservesFiniteColimits_of_natIsoproof · cited by 3
- CategoryTheory.Limits.preservesFiniteLimits_of_preservesFiniteLimitsOfSizestatement and proof · cited by 3
- CategoryTheory.IsCofiltered.conestatement and proof · cited by 3
- CategoryTheory.IsCofiltered.of_cone_nonemptystatement and proof · cited by 3