Theorems · Definition · category theory
CategoryTheory.InducedCategory.endEquiv
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{D : Type u_1} →
{F : D → C} → {X : CategoryTheory.InducedCategory C F} → CategoryTheory.End X ≃* CategoryTheory.End (F X)The multiplicative bijection End X ≃* End (F X) when X : InducedCategory C F.
- Defined in
- Mathlib.CategoryTheory.Endomorphism
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Equivproof · cited by 8,337
- MulEquivstatement · cited by 1,142
- CategoryTheory.Endstatement and proof · cited by 169
- CategoryTheory.InducedCategorystatement and proof · cited by 71
- CategoryTheory.InducedCategory.homEquivproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- FDRep.ρproof · cited by 20
- Action.FintypeCat.ofMulActionproof · cited by 11
- FDRep.ofproof · cited by 8
- CategoryTheory.InducedCategory.endEquiv_applystatement and proof · cited by 0
- CategoryTheory.InducedCategory.endEquiv_symm_apply_homstatement and proof · cited by 0
- FDRep.of_ρstatement · cited by 0
- FDRep.endRingEquiv_comp_ρstatement · cited by 0
- FDRep.endRingEquiv_symm_comp_ρstatement · cited by 0