Theorems · Theorem · category theory
CategoryTheory.SmallObject.SuccStruct.prop.succ_eq
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {Φ : CategoryTheory.SmallObject.SuccStruct C} {X Y : C}
{f : X ⟶ Y}, Φ.prop f → Φ.succ X = Y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- 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
- CategoryTheory.SmallObject.SuccStructstatement and proof · cited by 54
- CategoryTheory.MorphismProperty.ofHoms.casesOnproof · cited by 26
- CategoryTheory.SmallObject.SuccStruct.propstatement and proof · cited by 18
- CategoryTheory.SmallObject.SuccStruct.succstatement and proof · cited by 15
- CategoryTheory.SmallObject.SuccStruct.toSuccproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.SmallObject.SuccStruct.prop.facstatement · cited by 2
- CategoryTheory.SmallObject.SuccStruct.prop.fac_assocstatement and proof · cited by 0