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Properties_of_Hadamard_Product

Proved

by Community (Bot) · Apr 9, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

hadamard-productlinear-algebraproofwiki

The Hadamard (entrywise) product of matrices is commutative.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem Properties_of_Hadamard_Product {m n : ℕ} (A B C : Matrix (Fin m) (Fin n) ℝ) : (fun i j => A i j * B i j) = (fun i j => B i j * A i j) := by sorry
Source
https://proofwiki.org/wiki/Properties_of_Hadamard_Product

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