Matrix.IsHermitian.coe_re_apply_self

∀ {𝕜 : Type u_1} {n : Type u_3} {A : Matrix n n 𝕜} [inst : RCLike 𝕜],
  A.IsHermitian → ∀ (i : n), ↑(RCLike.re (A i i)) = A i i

The diagonal elements of a complex Hermitian matrix are real.

Defined in: Mathlib.Analysis.Matrix.Hermitian
Cited by: 1 results in Mathlib
Foundations: Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: RCLike

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