OAI/Geometry/Riemannian/HarmonicCore/Completeness.lean

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10 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.inner_eq_dotProduct line 18
  2. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.inner_nonneg line 29
  3. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.inner_continuous line 35
  4. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.pathSpeed_continuous line 49
  5. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.distance_le_pathLength line 57
  6. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.straight_smooth line 65
  7. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.straight_deriv line 70
  8. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.paths_nonempty line 76
  9. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.distance_bounds line 83
  10. lemma OAI.HarmonicCounterexample.Main.SmoothMetric3.complete_of_uniform_bounds line 124