OAI/Analysis/RieszRectifiability/Kernel/SpanCoefficientControl.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Coefficient bounds from separation from a span

Distance to a subspace is the norm of the orthogonal component. A positive lower bound for that distance controls the coefficient of an added vector, and extends an existing coordinate bound to the enlarged family.

  1. theorem OAI.RieszRectifiability.euclidean_starProjection_norm_le line 21
  2. theorem OAI.RieszRectifiability.submodule_infDist_eq_normal_projection line 25
  3. theorem OAI.RieszRectifiability.coefficient_bound_of_span_distance line 40
  4. theorem OAI.RieszRectifiability.coordinate_bound_extend line 58