* Theorems about complex numbers are now stated only using Re and Im, the Complex constructor is not used anymore. It is possible to use primcorec to defined the behaviour of a complex-valued function.
Removed theorems about the Complex constructor from the simpset, they are available as the lemma collection legacy_Complex_simps. This especially removes i_complex_of_real: "ii * complex_of_real r = Complex 0 r". Instead the reverse direction is supported with Complex_eq: "Complex a b = a + \<i> * b" Moved csqrt from Fundamental_Algebra_Theorem to Complex. Renamings: Re/Im ~> complex.sel complex_Re/Im_zero ~> zero_complex.sel complex_Re/Im_add ~> plus_complex.sel complex_Re/Im_minus ~> uminus_complex.sel complex_Re/Im_diff ~> minus_complex.sel complex_Re/Im_one ~> one_complex.sel complex_Re/Im_mult ~> times_complex.sel complex_Re/Im_inverse ~> inverse_complex.sel complex_Re/Im_scaleR ~> scaleR_complex.sel complex_Re/Im_i ~> ii.sel complex_Re/Im_cnj ~> cnj.sel Re/Im_cis ~> cis.sel complex_divide_def ~> divide_complex_def complex_norm_def ~> norm_complex_def cmod_def ~> norm_complex_de Removed theorems: complex_zero_def complex_add_def complex_minus_def complex_diff_def complex_one_def complex_mult_def complex_inverse_def complex_scaleR_def - This is also a surprising application of primcorec! - Johannes _______________________________________________ isabelle-dev mailing list isabelle-...@in.tum.de https://mailmanbroy.informatik.tu-muenchen.de/mailman/listinfo/isabelle-dev