Theorems · Theorem · group theory
AddSubgroup.relIndex_dvd_of_le_left
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G} (L : AddSubgroup G), H ≤ K → K.relIndex L ∣ H.relIndex L- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 99 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.
Cites6
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
- inf_of_le_leftproof · cited by 186
- AddSubgroup.relIndexstatement and proof · cited by 67
- dvd_of_mul_left_eqproof · cited by 14
- AddSubgroup.relIndex_inf_mul_relIndexproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.relIndex_eq_zero_of_le_leftproof · cited by 3
- AddSubgroup.relIndex_le_of_le_leftproof · cited by 0