Theorems · Theorem · group theory
AddSubgroup.map_equiv_eq_comap_symm
∀ {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 = AddSubgroup.comap (↑f.symm) K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddEquivstatement and proof · cited by 1,087
- AddEquiv.symmstatement · cited by 530
- AddMonoidHomClass.toAddMonoidHomstatement · cited by 232
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.comapstatement · cited by 123
- AddSubgroup.map_equiv_eq_comap_symm'proof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- AddSubgroup.comap_equiv_eq_map_symmproof · cited by 3
- AddSubgroup.normalCore_eq_iInf_comap_addConjproof · cited by 1
- AddEquiv.map_torsionproof · cited by 1
- AddSubgroup.comap_equiv_eq_map_symm'proof · cited by 1