Theorems · Theorem · group theory
Subgroup.map_sup
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (H K : Subgroup G) (f : G →* N),
Subgroup.map f (H ⊔ K) = Subgroup.map f H ⊔ Subgroup.map f K- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Subgroup.mapstatement · cited by 301
- GaloisConnection.l_supproof · cited by 81
- Subgroup.gc_map_comapproof · cited by 12
Cited by7
Results whose statement or proof uses this declaration.
- Subgroup.normalizer_inf_normalizer_le_normalizer_supproof · cited by 2
- Subgroup.subgroupOf_supproof · cited by 2
- Subgroup.comap_sup_eq_of_le_rangeproof · cited by 1
- NumberField.IsCMField.closure_realFundSystem_sup_torsionproof · cited by 1
- Monoid.Coprod.range_eqproof · cited by 1
- Subgroup.codisjoint_mapproof · cited by 0
- Subgroup.smul_supproof · cited by 0