OAI/Geometry/RCD/Transport/BoltzmannSupportBounds.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Entropy bounds on a finite reference region

These are the upper density bound and the lower volume bound used after normalizing a restricted transport component.

  1. theorem OAI.RegularPointCoordinates.entropy_density_volume_tangent line 17
  2. theorem OAI.RegularPointCoordinates.boltzmannEntropy_ge_neg_log_mass line 30
  3. theorem OAI.RegularPointCoordinates.boltzmannEntropy_le_log_density line 51
  4. theorem OAI.RegularPointCoordinates.boltzmannEntropy_ge_neg_log_support line 70