Theorems · Theorem · ring theory
StarSubalgebra.centralizer_le
∀ (R : Type u_2) {A : Type u_3} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : Semiring A]
[inst_3 : StarRing A] [inst_4 : Algebra R A] [inst_5 : StarModule R A] (s t : Set A),
s ⊆ t → StarSubalgebra.centralizer R t ≤ StarSubalgebra.centralizer R s- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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Cites11
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
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- StarRingstatement and proof · cited by 1,686
- StarModulestatement and proof · cited by 570
- StarSubalgebrastatement · cited by 194
- Set.preimage_monoproof · cited by 95
- Set.union_subset_unionproof · cited by 29
- Set.centralizer_subsetproof · cited by 11
- StarSubalgebra.centralizerstatement · cited by 9
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