Theorems · Theorem · group theory
Subgroup.relIndex_le_of_le_right
∀ {G : Type u_1} [inst : Group G] {H K L : Subgroup G}, K ≤ L → H.relIndex L ≠ 0 → H.relIndex K ≤ H.relIndex L- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 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
- HasQuotient.Quotientproof · cited by 2,301
- Nat.cardproof · cited by 844
- Subgroup.subgroupOfproof · cited by 122
- Subgroup.relIndexstatement and proof · cited by 72
- Finite.card_le_of_embedding'proof · cited by 4
- Subgroup.quotientSubgroupOfEmbeddingOfLEproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.relIndex_inf_leproof · cited by 0