OAI/GroupTheory/PolycyclicRecognition/Finiteness/BicomplexHorizontalBoundary.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

A horizontal boundary represented by a row cycle

The vertical part of the total differential vanishes on a row cycle. Thus its total boundary has exactly the single horizontal component used by the second-page filtration argument.

  1. theorem OAI.PolycyclicRecognition.diagonalBoundary_horizontal_cycle line 19
  2. def OAI.PolycyclicRecognition.diagonalBoundaryCycle line 40
  3. theorem OAI.PolycyclicRecognition.diagonalBoundaryCycle_coordinates line 45
  4. theorem OAI.PolycyclicRecognition.diagonalBoundaryCycle_homology line 54
  5. def OAI.PolycyclicRecognition.horizontalBoundaryCycle line 59
  6. theorem OAI.PolycyclicRecognition.horizontalBoundaryCycle_leading line 77
  7. theorem OAI.PolycyclicRecognition.horizontalBoundaryCycle_leading_homology line 93
  8. theorem OAI.PolycyclicRecognition.horizontalBoundaryCycle_homology line 101