Theorems · Theorem · linear algebra

Module.Basis.det_basis

∀ {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 b' : Module.Basis ι A M),
  LinearMap.det ↑(b'.equiv b (Equiv.refl ι)) = b'.det ⇑b

Defined in

Mathlib.LinearAlgebra.Determinant

Cited by

4 results in Mathlib

Foundations

Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupDecidableEqFintypeCommRingModule