OAI/Analysis/CircleDomains/Reflection/UnitCircleReflection.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

The explicit reflection in the unit circle, with the exact side and continuity facts used in annular Schwarz reflection.

  1. def OAI.CircleDomainRigidity.unitCircleReflection line 13
  2. lemma OAI.CircleDomainRigidity.unitCircleReflection_norm line 15
  3. lemma OAI.CircleDomainRigidity.unitCircleReflection_involutive line 18
  4. lemma OAI.CircleDomainRigidity.unitCircleReflection_ne_zero line 22
  5. lemma OAI.CircleDomainRigidity.unitCircleReflection_fixed line 25
  6. lemma OAI.CircleDomainRigidity.continuousOn_unitCircleReflection line 30
  7. lemma OAI.CircleDomainRigidity.unitCircleReflection_outer line 34
  8. lemma OAI.CircleDomainRigidity.unitCircleReflection_strict_outer line 39