Theorems · Theorem · category theory
CategoryTheory.Grp.Hom.hom_pow
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {G H : CategoryTheory.Grp C} [inst_3 : CategoryTheory.IsCommMonObj H.X]
(f : G ⟶ H) (n : ℕ), (f ^ n).hom = f.hom ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- pow_zeroproof · cited by 1,094
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.InducedCategory.Hom.homstatement and proof · cited by 850
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement · cited by 465
- pow_succproof · cited by 374
- CategoryTheory.Grpstatement and proof · cited by 144
- CategoryTheory.Grp.Xstatement and proof · cited by 99
- CategoryTheory.Grp.toMonstatement · cited by 80
- CategoryTheory.Hom.monoidstatement · cited by 52
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Grp.Hom.hom_hom_zpowproof · cited by 0