Theorems · Theorem · group theory
AddSubgroup.toSubgroup_comap
∀ {A : Type u_7} {A₂ : Type u_8} [inst : AddGroup A] [inst_1 : AddGroup A₂] (f : A →+ A₂) (s : AddSubgroup A₂),
Subgroup.comap (AddMonoidHom.toMultiplicative f) (AddSubgroup.toSubgroup s) =
AddSubgroup.toSubgroup (AddSubgroup.comap f s)- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- Multiplicativestatement · cited by 875
- OrderIsostatement · cited by 874
- Subgroup.comapstatement · cited by 154
- AddSubgroup.comapstatement · cited by 123
- AddMonoidHom.toMultiplicativestatement · cited by 21
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