1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "saturations.ma".
16 include "o-saturations.ma".
17 include "relations_to_o-algebra.ma".
19 (* These are only conversions :-) *)
21 definition o_operator_of_operator: ∀C:REL. (Ω^C ⇒_1 Ω^C) → ((POW C) ⇒_1 (POW C)).
25 definition is_o_saturation_of_is_saturation: ∀C:REL.∀R: Ω^C ⇒_1 Ω^C.
26 is_saturation ? R → is_o_saturation ? (o_operator_of_operator ? R).
30 definition is_o_reduction_of_is_reduction: ∀C:REL.∀R: Ω^C ⇒_1 Ω^C.
31 is_reduction ? R → is_o_reduction ? (o_operator_of_operator ? R).