Theorems · Theorem · group theory
Subgroup.rank_le_index_mul_rank
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) [hG : Group.FG G] [inst_1 : H.FiniteIndex],
Group.rank ↥H ≤ H.index * Group.rank G- Defined in
- Mathlib.GroupTheory.Schreier
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Finset.cardproof · cited by 2,327
- Subgroup.closureproof · cited by 196
- Subgroup.indexstatement and proof · cited by 150
- Subgroup.FiniteIndexstatement and proof · cited by 113
- Group.FGstatement and proof · cited by 40
- Group.rankstatement and proof · cited by 20
- Group.rank_specproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.card_commutator_dvd_index_center_powproof · cited by 1