Theorems · Theorem · ring theory
Unitization.starLift_symm_apply
∀ {R : Type u_1} {A : Type u_2} {C : Type u_3} [inst : CommSemiring R] [inst_1 : StarRing R]
[inst_2 : NonUnitalSemiring A] [inst_3 : StarRing A] [inst_4 : Module R A] [inst_5 : SMulCommClass R A A]
[inst_6 : IsScalarTower R A A] [inst_7 : Semiring C] [inst_8 : Algebra R C] [inst_9 : StarRing C]
[inst_10 : StarModule R C] (φ : Unitization R A →⋆ₐ[R] C),
Unitization.starLift.symm φ = φ.toNonUnitalStarAlgHom.comp (Unitization.inrNonUnitalStarAlgHom R A)- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- IsScalarTowerstatement and proof · cited by 3,896
- Equiv.symmstatement and proof · cited by 3,681
- SMulCommClassstatement and proof · cited by 1,927
- StarRingstatement and proof · cited by 1,686
- StarModulestatement and proof · cited by 570
- NonUnitalSemiringstatement and proof · cited by 339
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