Theorems · Theorem · group theory
Set.centralizer_union
∀ {M : Type u_1} {S T : Set M} [inst : Mul M], (S ∪ T).centralizer = S.centralizer ∩ T.centralizer- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Set.ofPredproof · cited by 6,101
- Set.centralizerstatement · cited by 57
Cited by2
Results whose statement or proof uses this declaration.
- Set.union_star_self_commproof · cited by 2
- StarSubalgebra.mem_centralizer_iffproof · cited by 0