OAI/Geometry/RCD/Heat/BoundedHeatOrder.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Pointwise order and linearity of the actual bounded heat flow

  1. theorem OAI.RegularPointCoordinates.HasBoundedAmplitude.add line 20
  2. theorem OAI.RegularPointCoordinates.HasBoundedAmplitude.smul line 29
  3. theorem OAI.RegularPointCoordinates.continuous_le_of_ae line 42
  4. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.boundedHeat_add line 57
  5. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.boundedHeat_smul line 72
  6. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.boundedHeat_mono line 83
  7. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.boundedHeat_nonneg line 95
  8. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.boundedHeat_abs_le line 104