Theorems · Theorem · ring theory
StarAlgHom.range_eq_map_top
∀ {R : Type u_2} {A : Type u_3} {B : Type u_4} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : Semiring A]
[inst_3 : Algebra R A] [inst_4 : StarRing A] [inst_5 : Semiring B] [inst_6 : Algebra R B] [inst_7 : StarRing B]
[inst_8 : StarModule R A] [inst_9 : StarModule R B] (φ : A →⋆ₐ[R] B), φ.range = StarSubalgebra.map φ ⊤- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Top.topstatement and proof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- StarRingstatement and proof · cited by 1,686
- RingHomClass.toRingHomproof · cited by 746
- StarModulestatement and proof · cited by 570
- AlgHom.toRingHomproof · cited by 490
- StarAlgHomstatement and proof · cited by 215
- StarSubalgebrastatement · cited by 194
Cited by2
Results whose statement or proof uses this declaration.
- range_cfcHom_leproof · cited by 2
- range_cfcHomproof · cited by 1