OAI/Topology/ArtinGroups/ParabolicIntersections/RelativeLowerRetraction.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Closing the ineligible colors retracts descending lower faces onto eligible faces.

  1. abbrev OAI.HarmonicArtin.ParabolicIntersections.RelativeDescendingLower line 11
  2. def OAI.HarmonicArtin.ParabolicIntersections.relativeEligibleSet line 13
  3. lemma OAI.HarmonicArtin.ParabolicIntersections.relativeEligible_shared line 15
  4. def OAI.HarmonicArtin.ParabolicIntersections.relativeLowerClose line 23
  5. lemma OAI.HarmonicArtin.ParabolicIntersections.le_relativeLowerClose line 27
  6. lemma OAI.HarmonicArtin.ParabolicIntersections.relativeLowerClose_le line 33
  7. lemma OAI.HarmonicArtin.ParabolicIntersections.relativeLowerClose_all_eligible line 40
  8. lemma OAI.HarmonicArtin.ParabolicIntersections.relativeLowerClose_mem line 48
  9. lemma OAI.HarmonicArtin.ParabolicIntersections.relativeLowerClose_monotone line 59
  10. def OAI.HarmonicArtin.ParabolicIntersections.relativeLowerRetraction line 72
  11. lemma OAI.HarmonicArtin.ParabolicIntersections.le_relativeLowerRetraction line 77
  12. lemma OAI.HarmonicArtin.ParabolicIntersections.relativeLowerClose_eq_of_all line 80
  13. lemma OAI.HarmonicArtin.ParabolicIntersections.relativeLowerRetraction_idem line 93