Theorems · Inductive type · category theory
CategoryTheory.IsoCat
(C : Type u_1) →
(D : Type u_2) →
[CategoryTheory.Category.{v_1, u_1} C] →
[CategoryTheory.Category.{v_2, u_2} D] → Type (max (max (max u_1 u_2) v_1) v_2)An isomorphism of categories: a pair of functors whose composites are equal to the identity functors.
- Defined in
- Mathlib.CategoryTheory.IsoCat
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
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.Categorystatement · cited by 32,673
Cited by23
Results whose statement or proof uses this declaration.
- CategoryTheory.IsoCat.functorstatement and proof · cited by 7
- CategoryTheory.IsoCat.inversestatement and proof · cited by 7
- CategoryTheory.Equivalence.toIsoCatstatement · cited by 2
- CategoryTheory.IsoCat.reflstatement · cited by 2
- CategoryTheory.IsoCat.symmstatement and proof · cited by 2
- CategoryTheory.IsoCat.transstatement and proof · cited by 2
- CategoryTheory.IsoCat.mk.injstatement · cited by 1
- CategoryTheory.IsoCat.mk.noConfusionstatement · cited by 1
- CategoryTheory.Functor.asIsomorphismstatement · cited by 0
- CategoryTheory.IsoCat.casesOnstatement and proof · cited by 0
- CategoryTheory.IsoCat.counit_eqstatement and proof · cited by 0
- CategoryTheory.IsoCat.ctorIdxstatement and proof · cited by 0