Theorems · Theorem · group theory
Subgroup.fg_iff_add_fg
∀ {G : Type u_3} [inst : Group G] (P : Subgroup G), P.FG ↔ (Subgroup.toAddSubgroup P).FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- AddSubgroupstatement · cited by 3,232
- OrderIsostatement · cited by 874
- Additivestatement · cited by 356
- Subgroup.toSubmonoidproof · cited by 114
- Submonoid.FGproof · cited by 24
- AddSubgroup.FGstatement and proof · cited by 21
- Subgroup.toAddSubgroupstatement and proof · cited by 20
- Subgroup.FGstatement · cited by 18
- AddSubgroup.fg_iff_addSubmonoid_fgproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- GroupFG.iff_add_fgproof · cited by 0