OAI/Analysis/CircleDomains/Topology/CompactLoopPathFamily.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

A compact nonempty family of paths, stable under loop deletion. It keeps the original image, endpoints and every uniform continuity bound.

  1. def OAI.CircleDomainRigidity.loopPathFamily line 16
  2. lemma OAI.CircleDomainRigidity.mem_loopPathFamily_self line 21
  3. lemma OAI.CircleDomainRigidity.isClosed_loopPathFamily line 24
  4. lemma OAI.CircleDomainRigidity.equicontinuous_loopPathFamily line 40
  5. lemma OAI.CircleDomainRigidity.isCompact_loopPathFamily line 54
  6. lemma OAI.CircleDomainRigidity.erasePathLoop_mem line 69