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`BookProof.ChapterMaschkeFiniteGroup.avgProj_mem` [Fintype G] {ρ : Representation ℂ G V} {W : Submodule ℂ V} (hW : IsInvariant ρ W) (pi : V →ₗ[ℂ] V) (hpi : ∀ x, pi x ∈ W) (x : V) : · Prove2Me