+++ /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_tls.ma".
-include "ground/relocation/gr_pat.ma".
-include "ground/relocation/gr_after.ma".
-
-(* RELATIONAL COMPOSITION FOR GENERIC RELOCATION MAPS ***********************)
-
-(* Constructions with gr_pat and gr_tls *************************************)
-
-(* Note: this requires ↑ on first n *)
-(*** after_tls *)
-lemma gr_after_tls_sn_tls (n):
- ∀f1,f2,f. @❪𝟏, f1❫ ≘ ↑n →
- f1 ⊚ f2 ≘ f → ⫰*[n]f1 ⊚ f2 ≘ ⫰*[n]f.
-#n @(nat_ind_succ … n) -n //
-#n #IH #f1 #f2 #f #Hf1 #Hf
-cases (gr_pat_inv_unit_succ … Hf1) -Hf1 [ |*: // ] #g1 #Hg1 #H1
-cases (gr_after_inv_next_sn … Hf … H1) -Hf #g #Hg #H0 destruct
-<gr_tls_swap <gr_tls_swap /2 width=1 by/
-qed.