Theorems · Theorem · group theory
AddSubgroup.coe_map
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (f : G →+ N) (K : AddSubgroup G),
↑(AddSubgroup.map f K) = ⇑f '' ↑K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Set.imagestatement · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.mapstatement · cited by 189
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.map_comap_eqproof · cited by 5
- AddSubgroup.map_eq_comap_of_inverseproof · cited by 0