Theorems · Theorem · ring theory
Subalgebra.centralizer_coe_sup
∀ {R : Type u_1} [inst : CommSemiring R] {A : Type u_2} [inst_1 : Semiring A] [inst_2 : Algebra R A]
(S T : Subalgebra R A), Subalgebra.centralizer R ↑(S ⊔ T) = Subalgebra.centralizer R ↑S ⊓ Subalgebra.centralizer R ↑T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
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Cites8
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 and proof · cited by 8,199
- Subalgebrastatement and proof · cited by 1,353
- eq_of_forall_le_iffproof · cited by 65
- Subalgebra.centralizerstatement and proof · cited by 25
- Subalgebra.le_centralizer_iffproof · cited by 2
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