Theorems · Theorem · linear algebra

Matrix.pow_row_eq_zero_of_le

∀ {n : Type u_3} {R : Type u_7} [inst : Semiring R] [inst_1 : Fintype n] [inst_2 : DecidableEq n] {M : Matrix n n R}
  {k l : ℕ} {i : n}, (M ^ k).row i = 0 → k ≤ l → (M ^ l).row i = 0

Defined in

Mathlib.Data.Matrix.Mul

Cited by

1 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringFintypeDecidableEq