Theorems · Theorem · category theory
Quiver.Hom.unop_inj
∀ {C : Type u₁} [inst : Quiver C] {X Y : Cᵒᵖ}, Function.Injective Quiver.Hom.unop- Defined in
- Mathlib.CategoryTheory.Opposites
- Cited by
- 33 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.
Cites6
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 and proof · cited by 8,081
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.opproof · cited by 1,948
- Quiver.Hom.unopstatement and proof · cited by 903
- Quiverstatement and proof · cited by 405
Cited by33
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.IsZero.opproof · cited by 5
- CategoryTheory.MorphismProperty.RightFractionRel.opproof · cited by 3
- CategoryTheory.ObjectProperty.isCoseparating_op_iffproof · cited by 3
- CategoryTheory.Limits.desc_op_comp_opCoproductIsoProduct'_homproof · cited by 2
- CategoryTheory.ObjectProperty.isCodetecting_op_iffproof · cited by 2
- CategoryTheory.ObjectProperty.isDetecting_op_iffproof · cited by 2
- CategoryTheory.isCofiltered_costructuredArrow_of_isCofiltered_of_existsproof · cited by 2
- CategoryTheory.ObjectProperty.isSeparating_op_iffproof · cited by 2
- CategoryTheory.ShortComplex.homologyMap'_opproof · cited by 1
- CategoryTheory.MorphismProperty.LeftFractionRel.opproof · cited by 1