Theorems · Theorem · number theory

QuadraticForm.discr_comp

∀ {R : Type u_3} {N : Type u_5} {P : Type u_6} {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}
  [inst_6 : AddCommGroup P] [inst_7 : Module R P] (b' : Module.Basis n R P) (Q : QuadraticForm R P) (f : N →ₗ[R] P),
  QuadraticForm.discr b (QuadraticMap.comp Q f) =
    ((LinearMap.toMatrix b b') f).det * ((LinearMap.toMatrix b b') f).det * 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

FintypeDecidableEqCommRingInvertibleAddCommGroupModuleAddCommGroupModule