Theorems · Theorem · group theory
Subgroup.relIndex_eq_zero_of_le_right
∀ {G : Type u_1} [inst : Group G] {H K L : Subgroup G}, K ≤ L → H.relIndex K = 0 → H.relIndex L = 0- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 97 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.
Cites5
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
- Subgroup.relIndexstatement and proof · cited by 72
- Finite.card_eq_zero_of_embeddingproof · cited by 4
- Subgroup.quotientSubgroupOfEmbeddingOfLEproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Subgroup.relIndex_ne_zero_transproof · cited by 2
- Subgroup.isFiniteRelIndex_of_le_rightproof · cited by 1
- Subgroup.relIndex_inf_ne_zeroproof · cited by 1
- Subgroup.relIndex_comap_ne_zeroproof · cited by 1
- Subgroup.index_eq_zero_of_relIndex_eq_zeroproof · cited by 0