Theorems · Theorem · group theory
MonoidHom.apply_mnat
∀ {M : Type u_1} [inst : Monoid M] (f : Multiplicative ℕ →* M) (n : Multiplicative ℕ),
f n = f (Multiplicative.ofAdd 1) ^ Multiplicative.toAdd n- Defined in
- Mathlib.Algebra.Group.Nat.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- Equiv.symmproof · cited by 3,681
- MonoidHomstatement and proof · cited by 3,629
- Multiplicativestatement and proof · cited by 875
- Equiv.apply_symm_applyproof · cited by 346
- Multiplicative.ofAddstatement · cited by 237
- Multiplicative.toAddstatement and proof · cited by 161
- powersHomproof · cited by 6
- powersHom_applyproof · cited by 1
- powersHom_symm_applyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MonoidHom.ext_mnatproof · cited by 4