OAI/Probability/SpanningForest/DisconnectedIncidence.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem336.IncidenceDisconnected.EndpointAdj line 13
  2. theorem OAI.Problem336.IncidenceDisconnected.reachable_endpoints_iff line 16
  3. def OAI.Problem336.IncidenceDisconnected.reducedIncidence line 27
  4. theorem OAI.Problem336.IncidenceDisconnected.sum_reduced_indicator line 31
  5. theorem OAI.Problem336.IncidenceDisconnected.vecMul_reducedIncidence line 44
  6. theorem OAI.Problem336.IncidenceDisconnected.exists_nonzero_vecMul_reducedIncidence_eq_zero line 52
  7. theorem OAI.Problem336.IncidenceDisconnected.det_reducedIncidence_eq_zero_of_not_connected line 73
  8. theorem OAI.Problem336.IncidenceDisconnected.det_reindexed_reducedIncidence_eq_zero_of_not_connected line 80
  9. theorem OAI.Problem336.IncidenceDisconnected.det_reducedLaplacian_eq_zero_of_not_connected line 90
  10. theorem OAI.Problem336.IncidenceDisconnected.connected_of_det_reducedIncidence_ne_zero line 100