Theorems · Theorem · group theory
AddSubgroup.index_iInf_le
∀ {G : Type u_1} [inst : AddGroup G] {ι : Type u_3} [inst_1 : Fintype ι] (f : ι → AddSubgroup G),
(⨅ i, f i).index ≤ ∏ i, (f i).index- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- iInfstatement and proof · cited by 1,690
- Finset.prod_congrproof · cited by 646
- AddSubgroup.indexstatement · cited by 104
- AddSubgroup.relIndex_top_rightproof · cited by 7
- AddSubgroup.relIndex_iInf_leproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.