Theorems · Definition · nonassociative algebras

NonUnitalSubalgebraClass.subtype

{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] →
              [inst_4 : NonUnitalSubsemiringClass S A] → [hSR : SMulMemClass S R A] → (s : S) → ↥s →ₙₐ[R] A

Embedding of a non-unital subalgebra into the non-unital algebra.

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

9 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleSetLikeNonUnitalSubsemiringClassSMulMemClass