Theorems · Theorem · group theory
MulEquiv.toAdditive_symm_apply_symm_apply
∀ {G : Type u_2} {H : Type u_3} [inst : MulOneClass G] [inst_1 : MulOneClass H] (f : Additive G ≃+ Additive H) (a : H),
(MulEquiv.toAdditive.symm f).symm a = (MonoidHom.toAdditive.symm f.symm.toAddMonoidHom) a- Defined in
- Mathlib.Algebra.Group.Equiv.TypeTags
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
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Cites14
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
- Equiv.symmstatement and proof · cited by 3,681
- MonoidHomstatement · cited by 3,629
- AddMonoidHomstatement · cited by 3,230
- MulEquivstatement · cited by 1,142
- AddEquivstatement and proof · cited by 1,087
- MulOneClassstatement and proof · cited by 1,018
- AddEquiv.symmstatement · cited by 530
- MulEquiv.symmstatement and proof · cited by 482
- Additivestatement and proof · cited by 356
- AddEquiv.toAddMonoidHomstatement · cited by 101
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