Theorems · Theorem · group theory
MonoidHom.ext_mnat
∀ {M : Type u_1} [inst : Monoid M] ⦃f g : Multiplicative ℕ →* M⦄,
f (Multiplicative.ofAdd 1) = g (Multiplicative.ofAdd 1) → f = g- Defined in
- Mathlib.Algebra.Group.Nat.Hom
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MonoidHomstatement and proof · cited by 3,629
- Multiplicativestatement and proof · cited by 875
- Multiplicative.ofAddstatement and proof · cited by 237
- Multiplicative.toAddproof · cited by 161
- MonoidHom.extproof · cited by 109
- MonoidHom.apply_mnatproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- MvPolynomial.algHom_extproof · cited by 55
- MvPolynomial.ringHom_extproof · cited by 7
- Polynomial.ringHom_extproof · cited by 1
- MonoidHom.ext_mnat_iffproof · cited by 0