Theorems · Theorem · category theory
CategoryTheory.LocalizerMorphism.essSurj_of_hasRightResolutions
∀ {C₁ : Type u_1} {C₂ : Type u_2} {D₂ : Type u_4} [inst : CategoryTheory.Category.{v_1, u_1} C₁]
[inst_1 : CategoryTheory.Category.{v_2, u_2} C₂] [inst_2 : CategoryTheory.Category.{v_4, u_4} D₂]
{W₁ : CategoryTheory.MorphismProperty C₁} {W₂ : CategoryTheory.MorphismProperty C₂}
(Φ : CategoryTheory.LocalizerMorphism W₁ W₂) (L₂ : CategoryTheory.Functor C₂ D₂) [L₂.IsLocalization W₂]
[Φ.HasRightResolutions], (Φ.functor.comp L₂).EssSurj- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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.Functor.compstatement · cited by 6,529
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Iso.transproof · cited by 566
- CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
- CategoryTheory.LocalizerMorphismstatement and proof · cited by 161
- Classical.arbitraryproof · cited by 161
- CategoryTheory.LocalizerMorphism.functorstatement · cited by 140
- CategoryTheory.Functor.EssSurjstatement and proof · cited by 88
- CategoryTheory.Functor.objObjPreimageIsoproof · cited by 54
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.LocalizerMorphism.Derives.isRightDerivedFunctor_of_isIsoproof · cited by 1
- CategoryTheory.LocalizerMorphism.isIso_iff_of_hasRightResolutionsproof · cited by 0