OAI/MathematicalPhysics/ContinuumCoulomb/OneParticle/ContactCalibratedGeometry.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Scaled rational contact coordinates retain the actual Coulomb calibration, with the coordinate and scalar-evaluation errors added explicitly. The gap follows from the proved separated-density estimate.

  1. def OAI.ContinuumCoulomb.ContactCalibratedGeometry.position line 16
  2. def OAI.ContinuumCoulomb.ContactCalibratedGeometry.point line 21
  3. theorem OAI.ContinuumCoulomb.ContactCalibratedGeometry.position_cast line 25
  4. theorem OAI.ContinuumCoulomb.ContactCalibratedGeometry.distance line 33
  5. theorem OAI.ContinuumCoulomb.ContactCalibratedGeometry.edge_error line 41
  6. theorem OAI.ContinuumCoulomb.ContactCalibratedGeometry.separation line 52
  7. theorem OAI.ContinuumCoulomb.ContactCalibratedGeometry.nonedge_separation line 63
  8. theorem OAI.ContinuumCoulomb.ContactCalibratedGeometry.coordinate_bound line 74
  9. theorem OAI.ContinuumCoulomb.ContactCalibratedGeometry.calibrated_edge_residual line 85