Theorems · Definition · group theory
monoidEndToAdditive
(M : Type u_4) → [inst : MulOneClass M] → Monoid.End M ≃* AddMonoid.End (Additive M)
Multiplicative equivalence between multiplicative endomorphisms of a MulOneClass M
and additive endomorphisms of Additive M.
- Defined in
- Mathlib.Algebra.Group.Equiv.TypeTags
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClass
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
- MulEquivstatement · cited by 1,142
- MulOneClassstatement and proof · cited by 1,018
- Additivestatement and proof · cited by 356
- AddMonoid.Endstatement · cited by 64
- MonoidHom.toAdditiveproof · cited by 19
- Monoid.Endstatement · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- Representation.ofMulDistribMulActionproof · cited by 2
- monoidEndToAdditive_apply_applystatement and proof · cited by 0
- monoidEndToAdditive_symm_apply_applystatement and proof · cited by 0