Theorems · Definition · category theory
CategoryTheory.SmallObject.SuccStruct.toSuccArrow
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.SmallObject.SuccStruct C → C → CategoryTheory.Arrow CThe map Φ.toSucc X : X ⟶ Φ.Succ X, as an element in Arrow C.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CategoryTheory.Arrowstatement · cited by 713
- CategoryTheory.Arrow.mkproof · cited by 421
- CategoryTheory.SmallObject.SuccStructstatement and proof · cited by 54
- CategoryTheory.SmallObject.SuccStruct.toSuccproof · cited by 10
Cited by20
Results whose statement or proof uses this declaration.
- CategoryTheory.SmallObject.SuccStruct.prop.arrowIsostatement · cited by 4
- CategoryTheory.SmallObject.SuccStruct.Iteration.arrowSucc_eqstatement · cited by 2
- CategoryTheory.SmallObject.SuccStruct.prop_iffstatement and proof · cited by 1
- CategoryTheory.SmallObject.SuccStruct.Iteration.extproof · cited by 1
- CategoryTheory.SmallObject.SuccStruct.Iteration.mk.injstatement and proof · cited by 1
- CategoryTheory.SmallObject.SuccStruct.Iteration.mk.noConfusionstatement and proof · cited by 1
- CategoryTheory.SmallObject.SuccStruct.Iteration.recOnstatement and proof · cited by 0
- CategoryTheory.SmallObject.SuccStruct.prop.arrowIso_hom_leftstatement · cited by 0
- CategoryTheory.SmallObject.SuccStruct.prop.arrowIso_hom_rightstatement · cited by 0
- CategoryTheory.SmallObject.SuccStruct.prop.arrowIso_inv_leftstatement · cited by 0
- CategoryTheory.SmallObject.SuccStruct.prop.arrowIso_inv_rightstatement · cited by 0
- CategoryTheory.SmallObject.SuccStruct.toSuccArrow_homstatement and proof · cited by 0