Theorems · Definition · nonassociative algebras

NonUnitalAlgHom.fst

(R : Type u) →
  [inst : Monoid R] →
    (A : Type v) →
      (B : Type w) →
        [inst_1 : NonUnitalNonAssocSemiring A] →
          [inst_2 : DistribMulAction R A] →
            [inst_3 : NonUnitalNonAssocSemiring B] → [inst_4 : DistribMulAction R B] → A × B →ₙₐ[R] A

The first projection of a product is a non-unital algebra homomorphism.

Defined in

Mathlib.Algebra.Algebra.NonUnitalHom

Cited by

4 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

MonoidNonUnitalNonAssocSemiringDistribMulActionNonUnitalNonAssocSemiringDistribMulAction