Theorems · Definition · nonassociative algebras

NonUnitalSubalgebra.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 : SetLike S A] →
              [NonUnitalSubsemiringClass S A] → [SMulMemClass S R A] → S → NonUnitalSubalgebra R A

The actual NonUnitalSubalgebra obtained from an element of a type satisfying NonUnitalSubsemiringClass and SMulMemClass.

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

1 results in Mathlib

Foundations

Depth 9 from the axioms · uses no axioms

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleSetLikeNonUnitalSubsemiringClassSMulMemClass