OAI/LinearAlgebra/MatrixMultiplication/Numerical/ComplexRationalLogCertificate.lean

GitHub source file

19 declarations, 0 contain sorry, 0 declared as axioms

Exact rational intervals, logarithm bounds and arithmetic circuit soundness.

  1. def OAI.MatrixMultiplication.Foundation.RationalLogCertificate.sumPower line 16
  2. def OAI.MatrixMultiplication.Foundation.RationalLogCertificate.rationalSumPower line 19
  3. def OAI.MatrixMultiplication.Foundation.RationalLogCertificate.realApprox line 22
  4. def OAI.MatrixMultiplication.Foundation.RationalLogCertificate.rationalApprox line 25
  5. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.rationalSumPower_cast line 29
  6. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.rationalApprox_cast line 33
  7. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.symmetric_expansion_error line 37
  8. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.normalized_variable_bounds line 55
  9. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.normalized_log_error line 63
  10. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.normalized_log_error_80 line 84
  11. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.rational_log_error_80 line 92
  12. structure OAI.MatrixMultiplication.Foundation.RationalLogCertificate.ReducedArgument line 97
  13. def OAI.MatrixMultiplication.Foundation.RationalLogCertificate.reducedApprox line 104
  14. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.ReducedArgument.positive line 107
  15. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.reduced_log_error line 111
  16. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.reduced_entropy_error line 144
  17. def OAI.MatrixMultiplication.Foundation.RationalLogCertificate.finiteEntropyApprox line 153
  18. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.finite_entropy_error line 157
  19. theorem OAI.MatrixMultiplication.Foundation.RationalLogCertificate.finite_entropy_error_of_exponent_bound line 171