Theorems · Definition · group theory
AddSubgroup.addSubgroupOf
{G : Type u_1} → [inst : AddGroup G] → AddSubgroup G → (K : AddSubgroup G) → AddSubgroup ↥KFor any subgroups H and K, view H ⊓ K as a subgroup of K.
- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 87 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.comapproof · cited by 123
- AddSubgroup.subtypeproof · cited by 82
Cited by107
Results whose statement or proof uses this declaration.
- AddSubgroup.relIndexproof · cited by 67
- AddSubgroup.mem_addSubgroupOfstatement · cited by 14
- AddSubgroup.relIndex_mul_indexproof · cited by 12
- AddSubgroup.normal_addSubgroupOf_iff_le_normalizerstatement and proof · cited by 8
- MeasureTheory.Lp.boundedContinuousFunctionproof · cited by 7
- AddSubgroup.addSubgroupOfEquivOfLestatement and proof · cited by 7
- Valuation.leIdealproof · cited by 7
- AddSubgroup.addSubgroupOf_map_subtypestatement · cited by 5
- AddSubgroup.focalAddSubgroupOfproof · cited by 5
- AddSubgroup.inf_relIndex_rightproof · cited by 5
- AddSubgroup.addSubgroupOfContinuousAddEquivOfLestatement · cited by 4
- Valuation.ltIdealproof · cited by 4