OAI/Analysis/CircleDomains/Topology/OpenDomainRepresentative.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

A globally measurable representative of a smooth function on an open physical plane domain, preserving its actual derivatives there.

  1. def OAI.CircleDomainRigidity.openZeroExtension line 13
  2. theorem OAI.CircleDomainRigidity.openZeroExtension_eq line 17
  3. theorem OAI.CircleDomainRigidity.openZeroExtension_measurable line 22
  4. theorem OAI.CircleDomainRigidity.openZeroExtension_contDiffOn line 27
  5. theorem OAI.CircleDomainRigidity.openZeroExtension_fderiv line 32
  6. theorem OAI.CircleDomainRigidity.openZeroExtension_mem_Icc line 40
  7. theorem OAI.CircleDomainRigidity.openZeroExtension_gradient_memLp line 51