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structure definition def or abbrev

ConnectionCert

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formal statement (Lean)

 124structure ConnectionCert where
 125  torsion_free : ∀ (ginv : InverseMetric) (dg : Idx → Idx → Idx → ℝ),
 126    (∀ mu nu sigma, dg mu nu sigma = dg mu sigma nu) →
 127    ∀ rho mu nu,
 128      (christoffel_from_metric ginv dg).gamma rho mu nu =
 129      (christoffel_from_metric ginv dg).gamma rho nu mu
 130  flat_vanish : ∀ rho mu nu : Idx,
 131    (christoffel_from_metric minkowski_inverse (fun _ _ _ => 0)).gamma rho mu nu = 0
 132

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