Theorems · Theorem · group theory
Subgroup.relIndex_iInf_le
∀ {G : Type u_1} [inst : Group G] {L : Subgroup G} {ι : Type u_3} [inst_1 : Fintype ι] (f : ι → Subgroup G),
(⨅ i, f i).relIndex L ≤ ∏ i, (f i).relIndex L- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement · cited by 2,356
- HasQuotient.Quotientproof · cited by 2,301
- iInfstatement and proof · cited by 1,690
- Nat.cardproof · cited by 844
- Subgroup.subgroupOfproof · cited by 122
- iInf_leproof · cited by 104
- Subgroup.relIndexstatement · cited by 72
- Nat.card_piproof · cited by 10
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