OAI/Analysis/CircleDomains/Topology/LooplessTimeCoordinate.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Continuous monotone coordinates on a loopless path. Prefix distances separate distinct fibers; running maxima are constant on every pause.

  1. def OAI.CircleDomainRigidity.prefixDistance line 15
  2. lemma OAI.CircleDomainRigidity.prefixDistance_nonneg line 19
  3. lemma OAI.CircleDomainRigidity.prefixDistance_le_one line 22
  4. lemma OAI.CircleDomainRigidity.prefixDistance_eq_zero line 25
  5. lemma OAI.CircleDomainRigidity.prefixDistance_pos line 30
  6. lemma OAI.CircleDomainRigidity.prefixRunning_eq_zero line 40
  7. lemma OAI.CircleDomainRigidity.prefixRunning_eq_of_loop line 46
  8. lemma OAI.CircleDomainRigidity.dense_prefix_separates line 55