OAI/Analysis/CircleDomains/Topology/PlanarPairCalculus.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The actual two-coordinate map and its differential, for composing saved smooth barriers with Sobolev coordinates.

  1. def OAI.CircleDomainRigidity.planePair line 13
  2. theorem OAI.CircleDomainRigidity.planePair_zero line 16
  3. theorem OAI.CircleDomainRigidity.planePair_one line 19
  4. theorem OAI.CircleDomainRigidity.planePair_coordinates line 22
  5. theorem OAI.CircleDomainRigidity.planePair_covector line 26
  6. theorem OAI.CircleDomainRigidity.continuous_planePair line 31
  7. theorem OAI.CircleDomainRigidity.contDiff_planePair line 35
  8. theorem OAI.CircleDomainRigidity.hasFDerivAt_planePair line 40
  9. theorem OAI.CircleDomainRigidity.fderiv_planePair_comp line 48