OAI/Geometry/SingularHomology/SimplexCoordinates.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

  1. instance OAI.Problem340.RealSimplex.coordinatesFun line 19
  2. def OAI.Problem340.RealSimplex.coordinates line 22
  3. lemma OAI.Problem340.RealSimplex.single_apply line 25
  4. lemma OAI.Problem340.RealSimplex.barycenter_apply line 30
  5. lemma OAI.Problem340.RealSimplex.map_apply line 34
  6. lemma OAI.Problem340.RealSimplex.coordinates_injective line 44
  7. def OAI.Problem340.RealSimplex.coordinateSet line 47
  8. lemma OAI.Problem340.RealSimplex.mem_coordinateSet line 50
  9. lemma OAI.Problem340.RealSimplex.convex_coordinateSet line 54
  10. def OAI.Problem340.RealSimplex.coordinateHomeomorph line 57
  11. lemma OAI.Problem340.RealSimplex.coordinateHomeomorph_apply line 64
  12. lemma OAI.Problem340.RealSimplex.coordinateHomeomorph_symm_apply line 67
  13. instance OAI.Problem340.RealSimplex.metricSpace line 71
  14. lemma OAI.Problem340.RealSimplex.coordinateHomeomorph_symm_apply_at line 74
  15. lemma OAI.Problem340.RealSimplex.contractible line 78
  16. lemma OAI.Problem340.RealSimplex.locallyPathConnected line 84