Theorems · Theorem · group theory
powersHom_apply
∀ {M : Type u_1} [inst : Monoid M] (x : M) (n : Multiplicative ℕ), ((powersHom M) x) n = x ^ Multiplicative.toAdd n- Defined in
- Mathlib.Algebra.Group.Nat.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Multiplicativestatement and proof · cited by 875
- Multiplicative.toAddstatement · cited by 161
- powersHomstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MonoidHom.apply_mnatproof · cited by 1