Theorems · Definition · category theory
CategoryTheory.WithInitial.homTo
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
(X : C) → CategoryTheory.WithInitial.star ⟶ CategoryTheory.WithInitial.incl.obj XConstructs a morphism from star to of X.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 38 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 · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.WithInitialstatement · cited by 144
- CategoryTheory.Limits.IsInitial.toproof · cited by 119
- CategoryTheory.WithInitial.inclstatement and proof · cited by 37
- CategoryTheory.WithInitial.starInitialproof · cited by 23
Cited by10
Results whose statement or proof uses this declaration.
- AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIsostatement · cited by 4
- AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompToArrowIsostatement · cited by 4