Theorems · Theorem · number theory

QuadraticMap.smul_toBilin

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : LinearOrder ι] [inst_1 : CommRing R]
  [inst_2 : AddCommGroup M] [inst_3 : AddCommGroup N] [inst_4 : Module R M] [inst_5 : Module R N] (S : Type u_5)
  [inst_6 : CommSemiring S] [inst_7 : Algebra S R] [inst_8 : Module S N] [inst_9 : IsScalarTower S R N]
  (bm : Module.Basis ι R M) (s : S) (Q : QuadraticMap R M N), (s • Q).toBilin bm = s • Q.toBilin bm

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basis

Cited by

0 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderCommRingAddCommGroupAddCommGroupModuleModuleCommSemiringAlgebraModuleIsScalarTower