Theorems · Theorem · group theory
AddSubgroup.relIndex_le_of_le_right
∀ {G : Type u_1} [inst : AddGroup G] {H K L : AddSubgroup 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
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- HasQuotient.Quotientproof · cited by 2,301
- Nat.cardproof · cited by 844
- AddSubgroup.addSubgroupOfproof · cited by 87
- AddSubgroup.relIndexstatement and proof · cited by 67
- Finite.card_le_of_embedding'proof · cited by 4
- AddSubgroup.quotientAddSubgroupOfEmbeddingOfLEproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.relIndex_inf_leproof · cited by 1