Theorems · Theorem · category theory
CategoryTheory.Localization.essSurj_mapComposableArrows
∀ {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] (L : CategoryTheory.Functor C D)
(W : CategoryTheory.MorphismProperty C) [L.IsLocalization W] [W.HasLeftCalculusOfFractions] (n : ℕ),
(L.mapComposableArrows n).EssSurj- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.compproof · cited by 6,529
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Equivalence.functorproof · cited by 1,268
- CategoryTheory.Functor.opproof · cited by 997
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.ComposableArrowsstatement · cited by 627
- CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
- CategoryTheory.Functor.rightOpproof · cited by 214
- CategoryTheory.Functor.EssSurjstatement and proof · cited by 88
- CategoryTheory.MorphismProperty.opproof · cited by 71
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Triangulated.Localization.isTriangulatedproof · cited by 0