Theorems · Theorem · category theory
CategoryTheory.IsRegularMono.regularMono
∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {X Y : C} {f : X ⟶ Y}
[self : CategoryTheory.IsRegularMono f], Nonempty (CategoryTheory.RegularMono f)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.IsRegularMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.IsRegularMonostatement and proof · cited by 14
- CategoryTheory.RegularMonostatement · cited by 14
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.IsRegularMono.getStructproof · cited by 1
- CategoryTheory.isRegularEpi_op_iff_isRegularMonoproof · cited by 1
- CategoryTheory.isRegularMono_op_iff_isRegularEpiproof · cited by 0
- CategoryTheory.isRegularMono_unop_iff_isRegularEpiproof · cited by 0
- CategoryTheory.isRegularEpi_unop_iff_isRegularMonoproof · cited by 0