Theorems · Definition · ring theory

NonUnitalStarSubalgebra.ofClass

{S : Type u_1} →
  {R : Type u_2} →
    {A : Type u_3} →
      [inst : CommSemiring R] →
        [inst_1 : NonUnitalNonAssocSemiring A] →
          [inst_2 : Module R A] →
            [inst_3 : Star A] →
              [inst_4 : SetLike S A] →
                [NonUnitalSubsemiringClass S A] →
                  [SMulMemClass S R A] → [StarMemClass S A] → S → NonUnitalStarSubalgebra R A

The actual NonUnitalStarSubalgebra obtained from an element of a type satisfying NonUnitalSubsemiringClass, SMulMemClass and StarMemClass.

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

2 results in Mathlib

Foundations

Depth 9 from the axioms · uses no axioms

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleStarSetLikeNonUnitalSubsemiringClassSMulMemClassStarMemClass