OAI/Analysis/CircleDomains/Topology/LooplessSeparatingCoordinate.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

A single continuous monotone real coordinate with exactly the fibers of a loopless metric path.

  1. def OAI.CircleDomainRigidity.looplessCoordinateTerm line 13
  2. lemma OAI.CircleDomainRigidity.looplessCoordinateTerm_nonneg line 17
  3. lemma OAI.CircleDomainRigidity.looplessCoordinateTerm_le line 21
  4. lemma OAI.CircleDomainRigidity.summable_looplessCoordinateTerm line 27
  5. def OAI.CircleDomainRigidity.looplessCoordinate line 32
  6. lemma OAI.CircleDomainRigidity.looplessCoordinate_mono line 40
  7. lemma OAI.CircleDomainRigidity.looplessCoordinate_eq_of_eq line 47
  8. lemma OAI.CircleDomainRigidity.looplessCoordinate_lt_of_ne line 57
  9. lemma OAI.CircleDomainRigidity.looplessCoordinate_fibers line 74