Theorems · Theorem · group theory
Subgroup.relIndex_sup_right
∀ {G : Type u_1} [inst : Group G] (H K : Subgroup G) [K.Normal], K.relIndex (H ⊔ K) = K.relIndex H- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupSubgroup.Normal
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
- Equiv.symmproof · cited by 3,681
- Subgroupstatement and proof · cited by 3,593
- Subgroup.Normalstatement and proof · cited by 334
- Nat.card_congrproof · cited by 133
- MulEquiv.toEquivproof · cited by 126
- Subgroup.relIndexstatement · cited by 72
- QuotientGroup.quotientInfEquivProdNormalQuotientproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.relIndex_dvd_index_of_normalproof · cited by 2
- Subgroup.relIndex_sup_leftproof · cited by 1