Theorems · Theorem · group theory
AddGroup.nilpotencyClass_of_not_nilpotent
∀ {G : Type u_1} [inst : AddGroup G], ¬AddGroup.IsNilpotent G → AddGroup.nilpotencyClass G = 0- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 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.
Cites3
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
- AddGroup.IsNilpotentstatement and proof · cited by 42
- AddGroup.nilpotencyClassstatement · cited by 26
Cited by3
Results whose statement or proof uses this declaration.
- AddGroup.nilpotencyClass_quotient_centerproof · cited by 2
- AddSubgroup.upperCentralSeries.StrictMonoOnproof · cited by 1
- AddSubgroup.nilpotencyClass_le_of_upperCentralSeries_eqproof · cited by 0