Theorems · Theorem · combinatorics

Matrix.IsHadamard.neg

∀ {n : Type u_2} {R : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : Ring R] [inst_3 : StarRing R]
  {A : Matrix n n R}, A.IsHadamard → (-A).IsHadamard

Negating a Hadamard matrix gives a Hadamard matrix.

Defined in

Mathlib.LinearAlgebra.Matrix.HadamardMatrix

Cited by

1 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FintypeDecidableEqRingStarRing