Theorems · Definition · number theory

QuadraticMap.toBilinHom

{ι : Type u_1} →
  {R : Type u_2} →
    {M : Type u_3} →
      {N : Type u_4} →
        [LinearOrder ι] →
          [inst : CommRing R] →
            [inst_1 : AddCommGroup M] →
              [inst_2 : AddCommGroup N] →
                [inst_3 : Module R M] →
                  [inst_4 : Module R N] →
                    (S : Type u_5) →
                      [inst_5 : CommSemiring S] →
                        [inst_6 : Algebra S R] →
                          [inst_7 : Module S N] →
                            [inst_8 : IsScalarTower S R N] →
                              Module.Basis ι R M → QuadraticMap R M N →ₗ[S] LinearMap.BilinMap R M N

QuadraticMap.toBilin as an S-linear map

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basis

Cited by

1 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderCommRingAddCommGroupAddCommGroupModuleModuleCommSemiringAlgebraModuleIsScalarTower