Theorems · Definition · group theory
MulEquiv.toAdditive
{G : Type u_2} →
{H : Type u_3} → [inst : MulOneClass G] → [inst_1 : MulOneClass H] → G ≃* H ≃ (Additive G ≃+ Additive H)Reinterpret G ≃* H as Additive G ≃+ Additive H.
- Defined in
- Mathlib.Algebra.Group.Equiv.TypeTags
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement · cited by 8,337
- Equiv.symmproof · cited by 3,681
- MulEquivstatement and proof · cited by 1,142
- AddEquivstatement and proof · cited by 1,087
- MulOneClassstatement and proof · cited by 1,018
- AddEquiv.symmproof · cited by 530
- MulEquiv.symmproof · cited by 482
- Additivestatement and proof · cited by 356
- MulEquiv.toMonoidHomproof · cited by 126
- AddEquiv.toAddMonoidHomproof · cited by 101
- MonoidHom.toAdditiveproof · cited by 19
Cited by11
Results whose statement or proof uses this declaration.
- AddAutAdditiveproof · cited by 4
- MulEquiv.toMultiplicative_toAdditiveproof · cited by 2
- CommGroup.equiv_prod_multiplicative_zmod_of_finiteproof · cited by 1
- MulEquiv.toAdditive_apply_symm_applystatement and proof · cited by 0
- MulEquiv.toAdditive_symm_apply_applystatement and proof · cited by 0
- MulEquiv.toAdditive_symm_apply_symm_applystatement and proof · cited by 0
- OrderMonoidIso.toAdditiveproof · cited by 0
- CommGroup.equiv_free_prod_prod_multiplicative_zmodproof · cited by 0
- Int.subgroup_index_ne_zero_iffproof · cited by 0
- Equiv.ofFreeGroupEquivproof · cited by 0
- MulEquiv.toAdditive_apply_applystatement and proof · cited by 0