OAI/Analysis/CircleDomains/Sobolev/ScalarFlattening.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The actual scalar map flattening an open set of prescribed values. It is one-Lipschitz, stays uniformly close to the identity, and is locally constant on the open set, even when that open set is dense.

  1. def OAI.CircleDomainRigidity.flattenValues line 14
  2. theorem OAI.CircleDomainRigidity.flattenValues_integrable line 17
  3. theorem OAI.CircleDomainRigidity.flattenValues_sub line 23
  4. theorem OAI.CircleDomainRigidity.flattenValues_lipschitz line 31
  5. theorem OAI.CircleDomainRigidity.flattenValues_locally_constant line 41
  6. theorem OAI.CircleDomainRigidity.flattenValues_close line 56