Theorems · Theorem · category theory
CategoryTheory.GrpObj.comp_zpow
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{G X Y : C} [inst_2 : CategoryTheory.GrpObj G] (f : X ⟶ Y) (g : Y ⟶ G) (n : ℤ),
CategoryTheory.CategoryStruct.comp f (g ^ n) = CategoryTheory.CategoryStruct.comp f g ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- zpow_natCastproof · cited by 271
- CategoryTheory.GrpObjstatement and proof · cited by 99
- zpow_negSuccproof · cited by 92
- CategoryTheory.Hom.groupstatement · cited by 25
- CategoryTheory.GrpObj.comp_invproof · cited by 10
- CategoryTheory.MonObj.comp_powproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.comp_zpow_assocproof · cited by 0