Theorems · Theorem · number theory

QuadraticForm.discr_smul

∀ {R : Type u_3} {N : Type u_5} {n : Type w} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R]
  [inst_3 : Invertible 2] [inst_4 : AddCommGroup N] [inst_5 : Module R N] {b : Module.Basis n R N}
  {Q : QuadraticForm R N} (a : R), QuadraticForm.discr b (a • Q) = a ^ Fintype.card n * QuadraticForm.discr b Q

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

0 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommRingInvertibleAddCommGroupModule