Theorems · Theorem · number theory

QuadraticMap.polar_smul_left_of_tower

∀ {S : Type u_1} {R : Type u_3} {M : Type u_4} {N : Type u_5} [inst : CommRing R] [inst_1 : AddCommGroup M]
  [inst_2 : AddCommGroup N] [inst_3 : Module R M] [inst_4 : Module R N] (Q : QuadraticMap R M N)
  [inst_5 : CommSemiring S] [inst_6 : Algebra S R] [inst_7 : Module S M] [IsScalarTower S R M] [inst_9 : Module S N]
  [IsScalarTower S R N] (a : S) (x y : M), QuadraticMap.polar (⇑Q) (a • x) y = a • QuadraticMap.polar (⇑Q) x y

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

0 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Quot.sound

Assumes

CommRingAddCommGroupAddCommGroupModuleModuleCommSemiringAlgebraModuleIsScalarTowerModuleIsScalarTower