Mathlib Map

Theorems · Theorem · group theory

Subgroup.relIndex_subgroupOf

∀ {G : Type u_1} [inst : Group G] {H K L : Subgroup G},
  K ≤ L → (H.subgroupOf L).relIndex (K.subgroupOf L) = H.relIndex K
Defined in
Mathlib.GroupTheory.Index
Cited by
1 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subgroup.relIndex_mul_relIndex · cited by 2Subgroup.relIndex_mul_rel…Group · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.subgroupOf · cited by 122Subgroup.subgroupOfSubgroup.relIndex · cited by 72Subgroup.relIndexSubgroup.inclusion · cited by 21Subgroup.inclusionSubgroup.index_comap · cited by 5Subgroup.index_comapSubgroup.inclusion_range · cited by 1Subgroup.inclusion_rangeSubgroup.relIndex_subgroupOfCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.