OAI/Analysis/FreeEntropy/NoiseTensor.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.FiniteEntropySeparation.FreeTensor.noiseWord line 12
  2. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseWord_nil line 16
  3. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseWord_cons line 17
  4. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseWord_formula line 20
  5. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseWord_injective line 26
  6. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseWord_append line 31
  7. theorem OAI.FiniteEntropySeparation.FreeTensor.rightN_noiseWord line 36
  8. def OAI.FiniteEntropySeparation.FreeTensor.noiseSlice line 42
  9. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseSlice_single line 45
  10. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseSlice_basis line 49
  11. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseSlice_semicircular line 53
  12. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseSlice_word line 70
  13. theorem OAI.FiniteEntropySeparation.FreeTensor.noiseSlice_vacuum_coefficient line 85
  14. theorem OAI.FiniteEntropySeparation.FreeTensor.noise_word_moment line 93
  15. theorem OAI.FiniteEntropySeparation.FreeTensor.trace_semicircularN_pow line 102
  16. theorem OAI.FiniteEntropySeparation.FreeTensor.noise_basis_orthonormal line 108