Theorems · Theorem · group theory
Subgroup.relIndex_dvd_of_le_left
∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G} (L : Subgroup G), H ≤ K → K.relIndex L ∣ H.relIndex L- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 99 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.
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
- Subgroupstatement and proof · cited by 3,593
- inf_of_le_leftproof · cited by 186
- Subgroup.relIndexstatement and proof · cited by 72
- dvd_of_mul_left_eqproof · cited by 14
- Subgroup.relIndex_inf_mul_relIndexproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.relIndex_eq_zero_of_le_leftproof · cited by 3
- IsCyclic.normalizer_le_centralizerproof · cited by 2
- Subgroup.relIndex_le_of_le_leftproof · cited by 0