Theorems · Definition · group theory
addMonoidEndToMultiplicative
(A : Type u_4) → [inst : AddZeroClass A] → AddMonoid.End A ≃* Monoid.End (Multiplicative A)
Multiplicative equivalence between additive endomorphisms of an AddZeroClass A
and multiplicative endomorphisms of Multiplicative A.
- Defined in
- Mathlib.Algebra.Group.Equiv.TypeTags
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClass
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.
- Equivproof · cited by 8,337
- MonoidHomproof · cited by 3,629
- AddMonoidHomproof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- MulEquivstatement · cited by 1,142
- Multiplicativestatement and proof · cited by 875
- AddMonoid.Endstatement · cited by 64
- AddMonoidHom.toMultiplicativeproof · cited by 21
- Monoid.Endstatement · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- addMonoidEndToMultiplicative_apply_applystatement and proof · cited by 0
- addMonoidEndToMultiplicative_symm_apply_applystatement and proof · cited by 0