proposition 13.123 Local Lorentz freedom

open in the book · parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:5607 · p. 521

Rests on

depends_on definition 13.122 Vielbein ¶
- 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 equation 13.1 eq:mfd-eta ¶
proves proof ch:11-manifolds-tensors-curvature@proof-26 ¶

Supports

depends_on theorem A.49 thm:app-eh-equivalence ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Vielbein	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:5617
`depends_on`	←	thm:app-eh-equivalence	declared	appendices/A-long-proofs.tex:3195
`proves`	←	ch:11-manifolds-tensors-curvature@proof-26	declared	parts/02-mathematical-methods/11-manifolds-tensors-curvature.tex:5620