OAI/Analysis/FreeEntropy/ComplexPolynomialFunctions.lean

GitHub source file

23 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.FiniteEntropySeparation.IsComplexPolynomial line 11
  2. def OAI.FiniteEntropySeparation.complexCoordinateDerivative line 13
  3. theorem OAI.FiniteEntropySeparation.complex_integral_re line 15
  4. theorem OAI.FiniteEntropySeparation.complex_integral_im line 17
  5. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.const line 20
  6. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.ofReal line 22
  7. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.coord line 25
  8. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.add line 26
  9. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.sub line 28
  10. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.mul line 30
  11. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.const_mul line 33
  12. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.mul_const line 35
  13. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.finset_sum line 37
  14. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.continuous line 42
  15. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.integrable line 47
  16. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.normSq line 52
  17. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.norm_sq line 55
  18. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.hasCoordinateDeriv line 57
  19. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.coordinateDerivative_eq line 65
  20. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.derivative line 70
  21. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.hasDerivAt line 78
  22. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.stein line 82
  23. theorem OAI.FiniteEntropySeparation.IsComplexPolynomial.poincare line 93