Theorems · Theorem · group theory
AddSubgroup.FG.iSup
∀ {G : Type u_3} [inst : AddGroup G] {ι : Sort u_5} [Finite ι] (P : ι → AddSubgroup G),
(∀ (i : ι), (P i).FG) → (iSup P).FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- Set.univproof · cited by 3,945
- AddSubgroupstatement and proof · cited by 3,232
- Finitestatement and proof · cited by 3,029
- iSupstatement and proof · cited by 2,415
- Set.mem_univproof · cited by 416
- iSup_congr_Propproof · cited by 247
- iSup_posproof · cited by 61
- Set.finite_univproof · cited by 52
- AddSubgroup.FGstatement and proof · cited by 21
- iSup_plift_downproof · cited by 10
- AddSubgroup.FG.biSupproof · cited by 1
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