Theorems · Theorem · ring theory

Unitization.starLift_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 : A →⋆ₙₐ[R] C), Unitization.starLift φ = { toAlgHom := φ.toAlgHom, map_star' := ⋯ }

Defined in

Mathlib.Algebra.Algebra.Unitization

Cited by

2 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringStarRingNonUnitalSemiringStarRingModuleSMulCommClassIsScalarTowerSemiringAlgebraStarRingStarModule