Theorems · Theorem · linear algebra

Matrix.mul_left_injective_iff_vecMul_injective

∀ {l : Type u_1} {m : Type u_2} {n : Type u_3} {α : Type v} [inst : NonUnitalSemiring α] [Nonempty l]
  [inst_2 : Fintype m] {A : Matrix m n α},
  (Function.Injective fun B => B * A) ↔ Function.Injective fun v => Matrix.vecMul v A

Defined in

Mathlib.Data.Matrix.Mul

Cited by

1 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalSemiringNonemptyFintype