Theorems · Theorem · group theory
Subgroup.centralizer_eq_iInf
∀ {G : Type u_1} [inst : Group G] (s : Set G), Subgroup.centralizer s = ⨅ g ∈ s, Subgroup.centralizer {g}- Defined in
- Mathlib.GroupTheory.Subgroup.Centralizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- le_antisymmproof · cited by 2,068
- iInfstatement and proof · cited by 1,690
- Set.singleton_subset_iffproof · cited by 206
- le_iInf₂proof · cited by 67
- Subgroup.centralizerstatement and proof · cited by 65
- Subgroup.centralizer_leproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.center_eq_iInfproof · cited by 1