Theorems · Definition · linear algebra

Matrix.detInvertibleOfInvertible

{n : Type u'} →
  {α : Type v} →
    [inst : Fintype n] →
      [inst_1 : DecidableEq n] → [inst_2 : CommRing α] → (A : Matrix n n α) → [Invertible A] → Invertible A.det

If A has a constructive inverse, produce one for A.det.

Defined in

Mathlib.LinearAlgebra.Matrix.NonsingularInverse

Cited by

3 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqCommRingInvertible