Theorems · Theorem · category theory
CategoryTheory.Subobject.mk_eq_top_of_isIso
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C} (f : X ⟶ Y) [inst_1 : CategoryTheory.IsIso f],
CategoryTheory.Subobject.mk f = ⊤- Defined in
- Mathlib.CategoryTheory.Subobject.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
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.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Subobjectstatement · cited by 385
- CategoryTheory.Subobject.mkstatement · cited by 109
- CategoryTheory.Subobject.isIso_iff_mk_eq_topproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.equalizerSubobject_of_selfproof · cited by 1