Theorems · Theorem · group theory
Subgroup.FG.finset_sup
∀ {G : Type u_3} [inst : Group G] {ι : Type u_5} (s : Finset ι) (P : ι → Subgroup G), (∀ i ∈ s, (P i).FG) → (s.sup P).FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Finset.supstatement · cited by 530
- Subgroup.FGstatement and proof · cited by 18
- Finset.sup_inductionproof · cited by 8
- Subgroup.FG.botproof · cited by 1
- Subgroup.FG.supproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.FG.biSup_finsetproof · cited by 1