OAI/MathematicalPhysics/ContinuumCoulomb/Quantum/QuantumForkListSize.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

Polynomial size bounds for the actual finite lists. A fixed number of rounds grows the spin and bond counts linearly in the initial active-port mass.

  1. def OAI.ContinuumCoulomb.QuantumForkList.portMass line 13
  2. theorem OAI.ContinuumCoulomb.QuantumForkList.portMass_sum line 15
  3. theorem OAI.ContinuumCoulomb.QuantumForkList.pairCount_le_portMass line 21
  4. theorem OAI.ContinuumCoulomb.QuantumForkList.next_portMass_le line 27
  5. theorem OAI.ContinuumCoulomb.QuantumForkList.iterate_portMass_le line 33
  6. theorem OAI.ContinuumCoulomb.QuantumForkList.iterate_count_le line 39
  7. theorem OAI.ContinuumCoulomb.QuantumForkList.iterate_bonds_le line 50
  8. theorem OAI.ContinuumCoulomb.QuantumForkList.sum_ones line 61
  9. theorem OAI.ContinuumCoulomb.QuantumForkList.activeBonds_length line 68
  10. theorem OAI.ContinuumCoulomb.QuantumForkList.initial_portMass line 72
  11. theorem OAI.ContinuumCoulomb.QuantumForkList.initial_iterate_count_le line 79
  12. theorem OAI.ContinuumCoulomb.QuantumForkList.initial_iterate_bonds_le line 88