(**************************************************************************)
include "delayed_updating/substitution/lift_prototerm_eq.ma".
-include "delayed_updating/substitution/lift_id.ma".
+include "delayed_updating/substitution/lift_path_id.ma".
+
+(* LIFT FOR PROTOTERM *******************************************************)
+
+(* Constructions with tr_id *************************************************)
lemma lift_term_id_sn (t):
- t ⊆ ↑[𝐢]t.
+ t ⊆ 🠡[𝐢]t.
#t #p #Hp
>(lift_path_id p)
-/2 width=1 by in_comp_lift_bi/
+/2 width=1 by in_comp_lift_path_term/
qed-.
lemma lift_term_id_dx (t):
- ↑[𝐢]t ⊆ t.
+ 🠡[𝐢]t ⊆ t.
#t #p * #q #Hq #H destruct //
qed-.
lemma lift_term_id (t):
- t ⇔ ↑[𝐢]t.
-/3 width=2 by lift_term_id_dx, lift_term_id_sn, conj/
+ t ⇔ 🠡[𝐢]t.
+/3 width=2 by lift_term_id_dx, lift_term_id_sn, conj/
qed.