Theorems · Theorem · group theory
AddSubgroup.upperCentralSeries.map
∀ {G : Type u_1} [inst : AddGroup G] {H : Type u_2} [inst_1 : AddGroup H] {f : G →+ H},
Function.Surjective ⇑f →
∀ (n : ℕ), AddSubgroup.map f (AddSubgroup.upperCentralSeries G n) ≤ AddSubgroup.upperCentralSeries H n- Defined in
- Mathlib.GroupTheory.Nilpotent
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- SetLike.coeproof · cited by 8,199
- Bot.botproof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- Bracket.bracketproof · cited by 642
- AddSubgroup.mapstatement and proof · cited by 189
- AddSubgroup.upperCentralSeriesstatement and proof · cited by 32
- AddSubgroup.mem_map_of_memproof · cited by 6
- AddSubgroup.map_botproof · cited by 6
- map_addCommutatorElementproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AddGroup.nilpotent_of_surjectiveproof · cited by 2
- AddGroup.nilpotencyClass_le_of_surjectiveproof · cited by 1