Theorems · Theorem · ring theory
Subalgebra.le_centralizer_centralizer
∀ (R : Type u) {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] {s : Subalgebra R A},
s ≤ Subalgebra.centralizer R ↑(Subalgebra.centralizer R ↑s)- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement · cited by 8,199
- Subalgebrastatement and proof · cited by 1,353
- Subalgebra.centralizerstatement · cited by 25
- Set.subset_centralizer_centralizerproof · cited by 13
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.