OAI/Geometry/RCD/Metric/InjectiveHilbertMeasurable.lean

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Measurability through an injective map of Hilbert spaces

The dense adjoint range transfers separability. The continuous injection is then a Borel embedding, so measurable L2 realizations determine measurable Sobolev-valued families.

  1. theorem OAI.RegularPointCoordinates.injective_hilbert_image_stronglyMeasurable line 21
  2. theorem OAI.RegularPointCoordinates.injective_hilbert_image_aestronglyMeasurable line 33