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theorem proved term proof

einstein_flat

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formal statement (Lean)

  74theorem einstein_flat (mu nu : Idx) :
  75    einstein_tensor minkowski minkowski_inverse
  76      (fun _ _ _ => 0) (fun _ _ _ _ => 0) mu nu = 0 := by

proof body

Term-mode proof.

  77  simp [einstein_tensor, ricci_flat, scalar_flat]
  78
  79/-- Einstein tensor is symmetric when the Ricci tensor is symmetric
  80    (which holds when the connection is torsion-free). -/

used by (5)

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depends on (12)

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