Theorems · Theorem · ring theory
Subalgebra.centralizer_coe_iSup
∀ {R : Type u_1} [inst : CommSemiring R] {A : Type u_2} [inst_1 : Semiring A] [inst_2 : Algebra R A] {ι : Sort u_3}
(S : ι → Subalgebra R A), Subalgebra.centralizer R ↑(⨆ i, S i) = ⨅ i, Subalgebra.centralizer R ↑(S i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- iSupstatement and proof · cited by 2,415
- iInfstatement and proof · cited by 1,690
- 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
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.