(* *)
(**************************************************************************)
-include "basic_2/grammar/term_simple.ma".
+include "basic_2/syntax/term_simple.ma".
include "basic_2/relocation/lifts.ma".
(* GENERIC RELOCATION FOR TERMS *********************************************)
(* Forward lemmas with simple terms *****************************************)
(* Basic_2A1: includes: lift_simple_dx *)
-lemma lifts_simple_dx: ∀T1,T2,f. ⬆*[f] T1 ≡ T2 → 𝐒⦃T1⦄ → 𝐒⦃T2⦄.
-#T1 #T2 #f #H elim H -T1 -T2 -f //
-#p #I #V1 #V2 #T1 #T2 #f #_ #_ #_ #_ #H elim (simple_inv_bind … H)
+lemma lifts_simple_dx: ∀f,T1,T2. ⬆*[f] T1 ≘ T2 → 𝐒⦃T1⦄ → 𝐒⦃T2⦄.
+#f #T1 #T2 #H elim H -f -T1 -T2 //
+#f #p #I #V1 #V2 #T1 #T2 #_ #_ #_ #_ #H elim (simple_inv_bind … H)
qed-.
(* Basic_2A1: includes: lift_simple_sn *)
-lemma lifts_simple_sn: ∀T1,T2,f. ⬆*[f] T1 ≡ T2 → 𝐒⦃T2⦄ → 𝐒⦃T1⦄.
-#T1 #T2 #f #H elim H -T1 -T2 -f //
-#p #I #V1 #V2 #T1 #T2 #f #_ #_ #_ #_ #H elim (simple_inv_bind … H)
+lemma lifts_simple_sn: ∀f,T1,T2. ⬆*[f] T1 ≘ T2 → 𝐒⦃T2⦄ → 𝐒⦃T1⦄.
+#f #T1 #T2 #H elim H -f -T1 -T2 //
+#f #p #I #V1 #V2 #T1 #T2 #_ #_ #_ #_ #H elim (simple_inv_bind … H)
qed-.