Theorems · Definition · group theory
powMonoidHom
{α : Type u_1} → [inst : CommMonoid α] → ℕ → α →* αThe nth power map on a commutative monoid for a natural n, considered as a morphism of
monoids.
- Defined in
- Mathlib.Algebra.Group.Hom.Basic
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- CommMonoidstatement and proof · cited by 2,264
- mul_powproof · cited by 220
Cited by46
Results whose statement or proof uses this declaration.
- frobeniusproof · cited by 80
- iterateFrobeniusproof · cited by 39
- powMulEquivproof · cited by 12
- powMonoidHom_applystatement and proof · cited by 11
- FiniteField.frobeniusAlgHomproof · cited by 8
- IsDedekindDomain.selmerGroupstatement and proof · cited by 4
- isQuotientCoveringMap_npowstatement · cited by 2
- IsCyclic.index_powMonoidHom_rangestatement · cited by 2
- powMonoidWithZeroHomproof · cited by 2
- finprod_powproof · cited by 2
- MvPolynomial.map_frobenius_expandproof · cited by 2
- IsDedekindDomain.selmerGroup.fromUnitstatement · cited by 2