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def definition def or abbrev

gradient

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formal statement (Lean)

  72noncomputable def gradient (φ : ScalarField) (x : Fin 4 → ℝ) : Fin 4 → ℝ :=

proof body

Definition body.

  73  fun μ => directional_deriv φ μ x
  74
  75/-- Squared gradient g^{μν} (∂_μ ψ)(∂_ν ψ) with inverse metric. -/

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