Theorems · Theorem · group theory
AddSubgroup.relIndex_iInf_le
∀ {G : Type u_1} [inst : AddGroup G] {L : AddSubgroup G} {ι : Type u_3} [inst_1 : Fintype ι] (f : ι → AddSubgroup G),
(⨅ i, f i).relIndex L ≤ ∏ i, (f i).relIndex L- Defined in
- Mathlib.GroupTheory.Index
- 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.
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
- AddGroupstatement and proof · cited by 4,410
- Finset.univstatement and proof · cited by 3,473
- AddSubgroupstatement and proof · cited by 3,232
- Finset.prodstatement · cited by 2,356
- HasQuotient.Quotientproof · cited by 2,301
- iInfstatement and proof · cited by 1,690
- Nat.cardproof · cited by 844
- iInf_leproof · cited by 104
- AddSubgroup.addSubgroupOfproof · cited by 87
- AddSubgroup.relIndexstatement · cited by 67
- Nat.card_piproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.index_iInf_leproof · cited by 0