Theorems · Theorem · linear algebra

Module.Basis.det_mul_det

∀ {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' b'' : Module.Basis ι A M), b.det ⇑b' * b'.det ⇑b'' = b.det ⇑b''

Defined in

Mathlib.LinearAlgebra.Determinant

Cited by

1 results in Mathlib

Foundations

Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupDecidableEqFintypeCommRingModule