OAI/MathematicalPhysics/ContinuumCoulomb/Quantum/QuantumPaddedPauli.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Fixed-width Pauli tables. Padding a local word duplicates its coefficient by a known factor; replacing odd-Y zero terms by the identity keeps every emitted word real without a dependent filtered index type.

  1. def OAI.ContinuumCoulomb.QuantumPaddedPauli.splitWords line 13
  2. def OAI.ContinuumCoulomb.QuantumPaddedPauli.restrictWord line 18
  3. theorem OAI.ContinuumCoulomb.QuantumPaddedPauli.splitWords_first line 21
  4. theorem OAI.ContinuumCoulomb.QuantumPaddedPauli.sum_restrict line 24
  5. theorem OAI.ContinuumCoulomb.QuantumPaddedPauli.normalized_sum_restrict line 33
  6. def OAI.ContinuumCoulomb.QuantumPaddedPauli.evenWord line 42
  7. def OAI.ContinuumCoulomb.QuantumPaddedPauli.evenCoefficient line 45
  8. theorem OAI.ContinuumCoulomb.QuantumPaddedPauli.evenWord_even line 49
  9. theorem OAI.ContinuumCoulomb.QuantumPaddedPauli.even_expansion line 55
  10. def OAI.ContinuumCoulomb.QuantumPaddedPauli.paddedWord line 70
  11. def OAI.ContinuumCoulomb.QuantumPaddedPauli.paddedCoefficient line 73
  12. theorem OAI.ContinuumCoulomb.QuantumPaddedPauli.paddedWord_even line 78
  13. theorem OAI.ContinuumCoulomb.QuantumPaddedPauli.padded_expansion line 81
  14. theorem OAI.ContinuumCoulomb.QuantumPaddedPauli.six_word_count line 102