Theorems · Definition · number theory

QuadraticMap.proj

{R : Type u_3} →
  {A : Type u_7} →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring A] →
        [inst_2 : Module R A] →
          [SMulCommClass R A A] → [IsScalarTower R A A] → {n : Type u_9} → n → n → QuadraticMap R (n → A) A

proj i j is the quadratic map sending the vector x : n → R to x i * x j

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

2 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleSMulCommClassIsScalarTower