Theorems · Definition · number theory

QuadraticMap.linMulLin

{R : Type u_3} →
  {M : Type u_4} →
    {A : Type u_7} →
      [inst : CommSemiring R] →
        [inst_1 : NonUnitalNonAssocSemiring A] →
          [inst_2 : AddCommMonoid M] →
            [inst_3 : Module R M] →
              [inst_4 : Module R A] →
                [SMulCommClass R A A] → [IsScalarTower R A A] → (M →ₗ[R] A) → (M →ₗ[R] A) → QuadraticMap R M A

The product of linear maps into an R-algebra is a quadratic map.

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

7 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringAddCommMonoidModuleModuleSMulCommClassIsScalarTower