Theorems · Theorem · linear algebra

Matrix.isRightRegular_iff_vecMul_injective

∀ {m : Type u_2} {α : Type v} [inst : NonUnitalSemiring α] [inst_1 : Fintype m] {A : Matrix m m α},
  IsRightRegular A ↔ Function.Injective fun v => Matrix.vecMul v A

Defined in

Mathlib.Data.Matrix.Mul

Cited by

3 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalSemiringFintype