Theorems · Definition · number theory

QuadraticMap.comp

{R : Type u_3} →
  {M : Type u_4} →
    {N : Type u_5} →
      {P : Type u_6} →
        [inst : CommSemiring R] →
          [inst_1 : AddCommMonoid M] →
            [inst_2 : Module R M] →
              [inst_3 : AddCommMonoid N] →
                [inst_4 : Module R N] →
                  [inst_5 : AddCommMonoid P] →
                    [inst_6 : Module R P] → QuadraticMap R N P → (M →ₗ[R] N) → QuadraticMap R M P

Compose the quadratic map with a linear function on the right.

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

20 results in Mathlib

Foundations

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

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModuleAddCommMonoidModule