Commit 2024-07-18 21:00 03960f7f

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feat(CstarRing): various lemmas related to the spectral order and the CFC (#13676) This PR proves various lemmas for C*-algebras, such as

  • if a ≤ b, then ‖a‖ ≤ ‖b‖
  • star a * b *a ≤ ‖b‖ • (star a * a)
  • if a is positive, then ‖a‖ ∈ spectrum ℝ a. It also puts an order instance on Unitization ℂ A, needed to prove the above.
  • depends on: #13650
  • depends on: #13673

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