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Theorems · Theorem · group theory

Subgroup.FG.biSup

∀ {G : Type u_3} [inst : Group G] {ι : Type u_5} {s : Set ι},
  s.Finite → ∀ (P : ι → Subgroup G), (∀ i ∈ s, (P i).FG) → (⨆ i ∈ s, P i).FG
Defined in
Mathlib.GroupTheory.Finiteness
Cited by
1 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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Subgroup.FG.iSup · cited by 0FG.iSupSet · cited by 53352SetGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupiSup · cited by 2415iSupSet.Finite · cited by 1814Set.FiniteSet.Finite.toFinset · cited by 351Finite.toFinsetiSup_congr_Prop · cited by 247iSup_congr_PropSubgroup.FG · cited by 18Subgroup.FGSubgroup.FG.biSup_finset · cited by 1FG.biSup_finsetFG.biSupCITED BYCITES

Cites9

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Cited by1

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