Theorems · Theorem · category theory
CategoryTheory.InducedCategory.endEquiv_symm_apply_hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_1} {F : D → C}
{X : CategoryTheory.InducedCategory C F} (f : F X ⟶ F X), (CategoryTheory.InducedCategory.endEquiv.symm f).hom = f- Defined in
- Mathlib.CategoryTheory.Endomorphism
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- MulEquivstatement · cited by 1,142
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- MulEquiv.symmstatement and proof · cited by 482
- CategoryTheory.Endstatement · cited by 169
- CategoryTheory.InducedCategorystatement and proof · cited by 71
- CategoryTheory.InducedCategory.endEquivstatement and proof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.