Theorems · Theorem · linear algebra

Matrix.zpow_add_one

∀ {n' : Type u_1} [inst : DecidableEq n'] [inst_1 : Fintype n'] {R : Type u_2} [inst_2 : CommRing R]
  {A : Matrix n' n' R}, IsUnit A.det → ∀ (n : ℤ), A ^ (n + 1) = A ^ n * A

Defined in

Mathlib.LinearAlgebra.Matrix.ZPow

Cited by

3 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRing