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`BookProof.ChapterCompactCompleteReducibility.avgOp_apply_mem` {ρ : G →* (V ≃L[ℂ] V)} (hρ : Continuous fun g => (ρ g : V →L[ℂ] V)) {W : Submodule ℂ V} {T : V →L[ℂ] V} (hT : ∀ v, T · Prove2Me