Theorems · Theorem · group theory
AddSubgroup.center_le_normalizer
∀ {G : Type u_1} [inst : AddGroup G] (s : Set G), AddSubgroup.center G ≤ AddSubgroup.normalizer s- Defined in
- Mathlib.GroupTheory.Subgroup.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- add_neg_cancel_rightproof · cited by 65
- AddSubgroup.normalizerstatement · cited by 59
- AddSubgroup.centerstatement and proof · cited by 40
- AddSubgroup.mem_center_iffproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.