Theorems · Theorem · group theory
addMonoidEndToMultiplicative_symm_apply_apply
∀ (A : Type u_4) [inst : AddZeroClass A] (f : Multiplicative A →* Multiplicative A) (a : A), ((addMonoidEndToMultiplicative A).symm f) a = Multiplicative.toAdd (f (Multiplicative.ofAdd a))
- Defined in
- Mathlib.Algebra.Group.Equiv.TypeTags
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- MonoidHomstatement and proof · cited by 3,629
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- MulEquivstatement · cited by 1,142
- Multiplicativestatement and proof · cited by 875
- MulEquiv.symmstatement and proof · cited by 482
- Multiplicative.ofAddstatement · cited by 237
- Multiplicative.toAddstatement · cited by 161
- AddMonoid.Endstatement · cited by 64
- Monoid.Endstatement · cited by 16
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.