Theorems · Theorem · group theory
AddSubgroup.upperCentralSeries_mono
∀ (G : Type u_1) [inst : AddGroup G], Monotone (AddSubgroup.upperCentralSeries G)
- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 89 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.
Cites11
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
- AddSubgroupstatement · cited by 3,232
- Monotonestatement · cited by 1,397
- add_assocproof · cited by 746
- AddMemClass.add_memproof · cited by 229
- NegMemClass.neg_memproof · cited by 63
- monotone_nat_of_le_succproof · cited by 45
- AddSubgroup.upperCentralSeriesstatement and proof · cited by 32
- AddSubgroup.Normal.conj_memproof · cited by 16
- addCommutatorElement_defproof · cited by 8
- AddSubgroup.upperCentralSeriesAuxproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.upperCentralSeries_eq_top_iff_nilpotencyClass_leproof · cited by 4
- AddSubgroup.upperCentralSeries.StrictMonoOnproof · cited by 1
- AddSubgroup.upperCentralSeries.eq_ge_of_eq_gtproof · cited by 0