Theorems · Theorem · group theory
Subgroup.centralizer_le
∀ {G : Type u_1} [inst : Group G] {s t : Set G}, s ⊆ t → Subgroup.centralizer t ≤ Subgroup.centralizer s- Defined in
- Mathlib.GroupTheory.Subgroup.Centralizer
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Subgroup.centralizerstatement · cited by 65
- Submonoid.centralizer_leproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.centralizer_eq_iInfproof · cited by 1
- Subgroup.centralizer_closureproof · cited by 1