theorem A.49 thm:app-eh-equivalence

Rests on

• depends_on definition 13.153 Contractions ¶
  • depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
    • depends_on definition 13.48 Differentiable manifold ¶
      • depends_on definition 13.47 Differentiable structure ¶
        • depends_on definition 13.44 Atlas ¶
    • depends_on definition 13.84 Tensor ¶
      • depends_on definition 13.83 Covector ¶
        • depends_on definition 13.81 Vector on a manifold ¶
      • depends_on definition 13.81 Vector on a manifold ¶ ↺
  • depends_on theorem 13.152 Riemann tensor; Ricci identity with torsion ¶
    • depends_on definition 13.145 Affine connection ¶
      • depends_on definition 13.90 Mixed tensor ¶
        • depends_on definition 13.89 Contravariant and covariant tensors ¶
        • depends_on definition 13.88 General coordinate transformation ¶
      • depends_on definition 13.82 Vector field ¶
        • depends_on definition 13.81 Vector on a manifold ¶ ↺
    • depends_on definition 13.147 Torsion ¶
      • depends_on definition 13.145 Affine connection ¶ ↺
    • depends_on proposition 7.105 Clairaut–Schwarz ¶
      • depends_on definition 7.20 Continuity at a point ¶
        • depends_on definition 7.16 Limit ¶
        • depends_on equation 7.7 eq:ana-limit-left ¶
        • depends_on equation 7.5 eq:ana-limit-right ¶
      • depends_on theorem 7.35 Mean value theorem ¶
        • depends_on proposition 7.29 Linearity ¶
        • depends_on theorem 7.34 Rolle ¶
        • proves proof ch:05-real-analysis@proof-19 ¶
      • proves proof ch:05-real-analysis@proof-64 ¶
    • proves proof ch:11-manifolds-tensors-curvature@proof-42 ¶
• depends_on equation 13.310 eq:mfd-connection-form ¶
• depends_on equation 13.264 eq:mfd-vielbein-metric ¶
• depends_on lemma A.50 lem:app-eh-epsilon ¶
  • proves proof app:A-long-proofs@proof-36 ¶
• depends_on proposition 13.123 Local Lorentz freedom ¶
  • depends_on definition 13.122 Vielbein ¶
    • depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶ ↺
    • depends_on equation 13.1 eq:mfd-eta ¶
  • proves proof ch:11-manifolds-tensors-curvature@proof-26 ¶
• proves proof app:A-long-proofs@proof-37 ¶

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