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`BookProof.ChapterA.prop5_linear` (U : H₁ →ₗ[ℂ] H₂) : (Function.Surjective U ∧ ∀ x, (inner ℂ (U x) (U x) : ℂ) = (inner ℂ x x : ℂ)) ↔ (Function.Surjective U ∧ ∀ x,... · Prove2Me