Theorems · Theorem · ring theory
StarAlgEquiv.toNonUnitalStarAlgHom_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 : NonUnitalNonAssocSemiring A] [inst_3 : NonUnitalNonAssocSemiring B] [inst_4 : MulAction R S]
[inst_5 : Module S A] [inst_6 : Module S B] [inst_7 : Module R A] [inst_8 : Module 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).toNonUnitalStarAlgHom =
NonUnitalStarAlgHom.restrictScalars R e.toNonUnitalStarAlgHom- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- MulActionstatement and proof · cited by 1,294
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalStarAlgHomstatement · cited by 208
- StarAlgEquivstatement and proof · cited by 132
- StarAlgEquiv.toNonUnitalStarAlgHomstatement · cited by 9
- NonUnitalStarAlgHom.restrictScalarsstatement · cited by 7
- StarAlgEquiv.restrictScalarsstatement · cited by 5
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