equal
deleted
inserted
replaced
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); |