Theorems · Theorem · ring theory
StarSubalgebra.top_toSubalgebra
∀ {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], ⊤.toSubalgebra = ⊤- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Top.topstatement · cited by 9,680
- StarRingstatement and proof · cited by 1,686
- Subalgebrastatement · cited by 1,353
- StarModulestatement and proof · cited by 570
- StarSubalgebrastatement · cited by 194
- StarSubalgebra.toSubalgebrastatement · cited by 58
- Subalgebra.extproof · cited by 28
Cited by2
Results whose statement or proof uses this declaration.
- StarAlgHom.range_eq_map_topproof · cited by 2
- StarSubalgebra.toSubalgebra_eq_topproof · cited by 0