Theorems · Theorem · group theory
AddGroup.fg_def
∀ {H : Type u_4} [inst : AddGroup H], AddGroup.FG H ↔ ⊤.FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddGroup.FGstatement and proof · cited by 37
- AddSubgroup.FGstatement and proof · cited by 21
- AddGroup.FG.outproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- AddGroup.fg_iff_addMonoid_fgproof · cited by 2
- AddGroup.fg_iff'proof · cited by 1
- Module.Finite.iff_addGroup_fgproof · cited by 0