OAI/Geometry/Borsuk/Simplicial/SignedVertex.lean

GitHub source file

23 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.BorsukNine.SimplicialChains.SignedVertex line 9
  2. def OAI.BorsukNine.SimplicialChains.flip line 11
  3. lemma OAI.BorsukNine.SimplicialChains.flip_apply line 14
  4. lemma OAI.BorsukNine.SimplicialChains.flip_involutive line 16
  5. lemma OAI.BorsukNine.SimplicialChains.flip_ne line 20
  6. def OAI.BorsukNine.SimplicialChains.cross line 24
  7. lemma OAI.BorsukNine.SimplicialChains.cross_mem line 32
  8. lemma OAI.BorsukNine.SimplicialChains.cross_flip_forward line 36
  9. lemma OAI.BorsukNine.SimplicialChains.cross_flip line 47
  10. lemma OAI.BorsukNine.SimplicialChains.cross_free line 56
  11. lemma OAI.BorsukNine.SimplicialChains.cross_card line 63
  12. lemma OAI.BorsukNine.SimplicialChains.cross_singleton line 72
  13. lemma OAI.BorsukNine.SimplicialChains.cross_insert line 78
  14. lemma OAI.BorsukNine.SimplicialChains.support_mapChains_injective line 97
  15. lemma OAI.BorsukNine.SimplicialChains.normMap_sq line 107
  16. lemma OAI.BorsukNine.SimplicialChains.normMap_degree line 113
  17. def OAI.BorsukNine.SimplicialChains.crossTower line 119
  18. lemma OAI.BorsukNine.SimplicialChains.crossTower_support line 123
  19. lemma OAI.BorsukNine.SimplicialChains.crossTower_degree line 149
  20. lemma OAI.BorsukNine.SimplicialChains.crossTower_cone_faces line 156
  21. lemma OAI.BorsukNine.SimplicialChains.crossTower_norm_boundary line 173
  22. lemma OAI.BorsukNine.SimplicialChains.crossTower_boundary line 199
  23. lemma OAI.BorsukNine.SimplicialChains.crossTower_augmentation line 210