Theorems · Theorem · ring theory
StarAlgEquiv.toStarAlgHom_restrictScalars
∀ (R : Type u_1) {S : Type u_2} {A : Type u_3} {B : Type u_4} [inst : CommSemiring R] [inst_1 : CommSemiring S]
[inst_2 : Semiring A] [inst_3 : Semiring B] [inst_4 : Algebra R S] [inst_5 : Algebra S A] [inst_6 : Algebra S B]
[inst_7 : Algebra R A] [inst_8 : Algebra R B] [inst_9 : IsScalarTower R S A] [inst_10 : IsScalarTower R S B]
[inst_11 : Star A] [inst_12 : Star B] (e : A ≃⋆ₐ[S] B),
(StarAlgEquiv.restrictScalars R e).toStarAlgHom = StarAlgHom.restrictScalars R e.toStarAlgHom- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, 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
- IsScalarTowerstatement and proof · cited by 3,896
- Starstatement and proof · cited by 496
- StarAlgHomstatement · cited by 215
- StarAlgEquivstatement and proof · cited by 132
- StarAlgEquiv.toStarAlgHomstatement · cited by 9
- StarAlgHom.restrictScalarsstatement · cited by 6
- StarAlgEquiv.restrictScalarsstatement · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.