src/HOL/Hyperreal/NSA.ML
changeset 11655 923e4d0d36d5
parent 11383 297625089e80
child 11701 3d51fbf81c17
equal deleted inserted replaced
11654:53d18ab990f6 11655:923e4d0d36d5
   472 (*----------------------------------------------------------------------
   472 (*----------------------------------------------------------------------
   473                    Infinitely close relation @=
   473                    Infinitely close relation @=
   474  ----------------------------------------------------------------------*)
   474  ----------------------------------------------------------------------*)
   475 
   475 
   476 Goalw [Infinitesimal_def,approx_def] 
   476 Goalw [Infinitesimal_def,approx_def] 
   477         "x:Infinitesimal = (x @= #0)";
   477         "(x:Infinitesimal) = (x @= #0)";
   478 by (Simp_tac 1);
   478 by (Simp_tac 1);
   479 qed "mem_infmal_iff";
   479 qed "mem_infmal_iff";
   480 
   480 
   481 Goalw [approx_def]" (x @= y) = (x + -y @= #0)";
   481 Goalw [approx_def]" (x @= y) = (x + -y @= #0)";
   482 by (Simp_tac 1);
   482 by (Simp_tac 1);