Theorems · Theorem · group theory
powersHom_symm_apply
∀ {M : Type u_1} [inst : Monoid M] (f : Multiplicative ℕ →* M), (powersHom M).symm f = f (Multiplicative.ofAdd 1)- 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.
Cites8
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
- Equiv.symmstatement · cited by 3,681
- MonoidHomstatement and proof · cited by 3,629
- Multiplicativestatement and proof · cited by 875
- Multiplicative.ofAddstatement · cited by 237
- powersHomstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MonoidHom.apply_mnatproof · cited by 1