Theorems · Theorem · group theory
Subgroup.inclusion_range
∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G} (h_le : H ≤ K), (Subgroup.inclusion h_le).range = H.subgroupOf K- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- MonoidHom.rangestatement · cited by 314
- Subgroup.subgroupOfstatement · cited by 122
- Subgroup.extproof · cited by 108
- Set.ext_iffproof · cited by 90
- Subgroup.inclusionstatement · cited by 21
- Set.range_inclusionproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.relIndex_subgroupOfproof · cited by 1