Theorems · Theorem · ring theory
StarAlgebra.adjoin_eq
∀ {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : Semiring A]
[inst_3 : Algebra R A] [inst_4 : StarRing A] [inst_5 : StarModule R A] (S : StarSubalgebra R A),
StarAlgebra.adjoin R ↑S = S- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- le_antisymmproof · cited by 2,068
- StarRingstatement and proof · cited by 1,686
- le_rflproof · cited by 1,558
- StarModulestatement and proof · cited by 570
- StarSubalgebrastatement and proof · cited by 194
- StarAlgebra.adjoinstatement · cited by 42
- StarAlgebra.subset_adjoinproof · cited by 10
- StarAlgebra.adjoin_leproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.