Theorems · Theorem · linear algebra

LinearMap.detAux_comp

∀ {M : Type u_2} [inst : AddCommGroup M] {ι : Type u_4} [inst_1 : DecidableEq ι] [inst_2 : Fintype ι] {A : Type u_5}
  [inst_3 : CommRing A] [inst_4 : Module A M] (b : Trunc (Module.Basis ι A M)) (f g : M →ₗ[A] M),
  (LinearMap.detAux b) (f ∘ₗ g) = (LinearMap.detAux b) f * (LinearMap.detAux b) g

Defined in

Mathlib.LinearAlgebra.Determinant

Cited by

0 results in Mathlib

Foundations

Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupDecidableEqFintypeCommRingModule