Theorems · Definition · category theory
CategoryTheory.IsoCat.inverse
{C : Type u_1} →
{D : Type u_2} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] → CategoryTheory.IsoCat C D → CategoryTheory.Functor D CThe inverse functor of an isomorphism of categories.
- Defined in
- Mathlib.CategoryTheory.IsoCat
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.IsoCatstatement and proof · cited by 9
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.IsoCat.symmproof · cited by 2
- CategoryTheory.IsoCat.transproof · cited by 2
- CategoryTheory.IsoCat.refl_inversestatement and proof · cited by 0
- CategoryTheory.IsoCat.symm_functorstatement · cited by 0
- CategoryTheory.IsoCat.symm_inversestatement and proof · cited by 0
- CategoryTheory.IsoCat.toEquivalenceproof · cited by 0
- CategoryTheory.IsoCat.trans_inversestatement and proof · cited by 0
- CategoryTheory.IsoCat.unit_eqstatement · cited by 0
- CategoryTheory.IsoCat.counit_eqstatement · cited by 0
- CategoryTheory.Equivalence.toIsoCat_inversestatement and proof · cited by 0