Theorems · Theorem · category theory
CategoryTheory.Functor.isEquivalence_of_iso
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F G : CategoryTheory.Functor C D} (e : F ≅ G) [F.IsEquivalence], G.IsEquivalence- Defined in
- Mathlib.CategoryTheory.Equivalence
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 and proof · cited by 16,252
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Functor.IsEquivalencestatement and proof · cited by 111
- CategoryTheory.Functor.asEquivalenceproof · cited by 58
- CategoryTheory.Equivalence.changeFunctorproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.IsLocalization.of_equivalence_targetproof · cited by 8
- CategoryTheory.Functor.isEquivalence_iff_of_isoproof · cited by 4
- CategoryTheory.LocalizerMorphism.isEquivalence_impproof · cited by 1
- CategoryTheory.Functor.IsLocalization.of_isoproof · cited by 0