Theorems · Theorem · category theory
CategoryTheory.Limits.equalizerSubobject_of_self
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y),
CategoryTheory.Limits.equalizerSubobject f f = ⊤- Defined in
- Mathlib.CategoryTheory.Subobject.Limits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Quiver.Homstatement and proof · cited by 32,603
- Top.topstatement · cited by 9,680
- CategoryTheory.Subobjectstatement · cited by 385
- CategoryTheory.Limits.equalizer.ιproof · cited by 64
- CategoryTheory.Limits.equalizerSubobjectstatement · cited by 10
- CategoryTheory.Subobject.mk_eq_top_of_isIsoproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.kernelSubobject_zeroproof · cited by 0