+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "ground/relocation/gr_sle_sle.ma".
-include "ground/relocation/gr_sor.ma".
-
-(* RELATIONAL UNION FOR GENERIC RELOCATION MAPS *****************************)
-
-(* Inversions with gr_sle ***************************************************)
-
-(*** sor_inv_sle_sn *)
-corec lemma gr_sor_inv_sle_sn:
- ∀f1,f2,f. f1 ⋓ f2 ≘ f → f1 ⊆ f.
-#f1 #f2 #f * -f1 -f2 -f
-#f1 #f2 #f #g1 #g2 #g #Hf #H1 #H2 #H0
-/3 width=5 by gr_sle_push, gr_sle_next, gr_sle_weak/
-qed-.
-
-(*** sor_inv_sle_dx *)
-corec lemma gr_sor_inv_sle_dx:
- ∀f1,f2,f. f1 ⋓ f2 ≘ f → f2 ⊆ f.
-#f1 #f2 #f * -f1 -f2 -f
-#f1 #f2 #f #g1 #g2 #g #Hf #H1 #H2 #H0
-/3 width=5 by gr_sle_push, gr_sle_next, gr_sle_weak/
-qed-.
-
-(*** sor_inv_sle_sn_trans *)
-lemma gr_sor_inv_sle_sn_trans:
- ∀f1,f2,f. f1 ⋓ f2 ≘ f → ∀g. g ⊆ f1 → g ⊆ f.
-/3 width=4 by gr_sor_inv_sle_sn, gr_sle_trans/ qed-.
-
-(*** sor_inv_sle_dx_trans *)
-lemma gr_sor_inv_sle_dx_trans:
- ∀f1,f2,f. f1 ⋓ f2 ≘ f → ∀g. g ⊆ f2 → g ⊆ f.
-/3 width=4 by gr_sor_inv_sle_dx, gr_sle_trans/ qed-.
-
-(*** sor_inv_sle *)
-axiom gr_sor_inv_sle_bi:
- ∀f1,f2,f. f1 ⋓ f2 ≘ f → ∀g. f1 ⊆ g → f2 ⊆ g → f ⊆ g.
-
-(* Constructions with gr_sle ************************************************)
-
-(*** sor_sle_dx *)
-corec lemma gr_sor_sle_dx:
- ∀f1,f2. f1 ⊆ f2 → f1 ⋓ f2 ≘ f2.
-#f1 #f2 * -f1 -f2
-/3 width=7 by gr_sor_push_bi, gr_sor_next_bi, gr_sor_push_next/
-qed.
-
-(*** sor_sle_sn *)
-corec lemma gr_sor_sle_sn:
- ∀f1,f2. f1 ⊆ f2 → f2 ⋓ f1 ≘ f2.
-#f1 #f2 * -f1 -f2
-/3 width=7 by gr_sor_push_bi, gr_sor_next_bi, gr_sor_next_push/
-qed.