Theorems · Definition · number theory

LinearMap.BilinMap.toQuadraticMap

{R : Type u_3} →
  {M : Type u_4} →
    {N : Type u_5} →
      [inst : CommSemiring R] →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : Module R M] →
            [inst_3 : AddCommMonoid N] → [inst_4 : Module R N] → LinearMap.BilinMap R M N → QuadraticMap R M N

A bilinear map gives a quadratic map by applying the argument twice.

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

53 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModule