Theorems · Theorem · category theory
Quiver.Hom.op_inj
∀ {C : Type u₁} [inst : Quiver C] {X Y : C}, Function.Injective Quiver.Hom.op- Defined in
- Mathlib.CategoryTheory.Opposites
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Quiver
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Oppositestatement · cited by 8,081
- Quiver.Hom.opstatement and proof · cited by 1,948
- Quiver.Hom.unopproof · cited by 903
- Quiverstatement and proof · cited by 405
Cited by45
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.toSpecΓ_appTopproof · cited by 7
- CategoryTheory.Limits.IsZero.unopproof · cited by 5
- CategoryTheory.Localization.exists_rightFractionproof · cited by 5
- CategoryTheory.Functor.initial_iff_of_isCofilteredproof · cited by 5
- CategoryTheory.MorphismProperty.LeftFractionRel.unopproof · cited by 4
- AlgebraicGeometry.Spec.map_injproof · cited by 3
- CategoryTheory.ObjectProperty.isCoseparating_op_iffproof · cited by 3
- CategoryTheory.Limits.desc_op_comp_opCoproductIsoProduct'_homproof · cited by 2
- CategoryTheory.isIso_of_opproof · cited by 2
- CategoryTheory.ObjectProperty.isCodetecting_op_iffproof · cited by 2