Theorems · Theorem · group theory
AddSubgroup.map_addSubgroupOf_eq_of_le
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G}, H ≤ K → AddSubgroup.map K.subtype (H.addSubgroupOf K) = H- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.mapstatement · cited by 189
- AddSubgroup.addSubgroupOfstatement · cited by 87
- AddSubgroup.subtypestatement · cited by 82
- inf_eq_leftproof · cited by 41
- AddSubgroup.addSubgroupOf_map_subtypeproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.map_focalAddSubgroupOfproof · cited by 2
- AddSubgroup.IsSubnormal.transproof · cited by 0