Theorems · Definition · group theory
Subgroup.subgroupOf
{G : Type u_1} → [inst : Group G] → Subgroup G → (K : Subgroup G) → Subgroup ↥KFor any subgroups H and K, view H ⊓ K as a subgroup of K.
- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 122 results in Mathlib
- Foundations
- Depth 23 from the axioms, rests on 204 definitions · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Subgroupstatement and proof · cited by 3,593
- Subgroup.subtypeproof · cited by 185
- Subgroup.comapproof · cited by 154
Cited by145
Results whose statement or proof uses this declaration.
- Subgroup.relIndexproof · cited by 72
- Subgroup.relIndex_mul_indexproof · cited by 14
- Subgroup.subgroupOfEquivOfLestatement and proof · cited by 12
- Subgroup.subgroupOf_map_subtypestatement · cited by 10
- Subgroup.focalSubgroupOfproof · cited by 10
- SlashInvariantForm.quotientFuncstatement and proof · cited by 10
- Subgroup.normal_subgroupOf_iff_le_normalizerstatement and proof · cited by 9
- Subgroup.inf_relIndex_rightproof · cited by 8
- ModularForm.normstatement and proof · cited by 5
- Subgroup.index_comapproof · cited by 5
- Subgroup.subgroupOfContinuousMulEquivOfLestatement · cited by 4
- Subgroup.map_subgroupOf_eq_of_lestatement · cited by 4