Theorems · Theorem · group theory
AddSubgroup.coe_comap
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (K : AddSubgroup N) (f : G →+ N),
↑(AddSubgroup.comap f K) = ⇑f ⁻¹' ↑K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 22 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.preimagestatement · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.comapstatement · cited by 123
Cited by4
Results whose statement or proof uses this declaration.
- AddSubgroup.map_comap_eqproof · cited by 5
- AddCircle.denseRange_zsmul_coe_iffproof · cited by 0
- AddCircle.dense_addSubgroup_iff_ne_zmultiplesproof · cited by 0
- AddSubgroup.map_eq_comap_of_inverseproof · cited by 0