@eq_f //
qed-.
+(* Properties with iterated push ********************************************)
+
+lemma isid_pushs: ān,f. šā¦fā¦ ā šā¦ā*[n]fā¦.
+#n elim n -n /3 width=3 by isid_push/
+qed.
+
+(* Inversion lemmas with iterated push **************************************)
+
+lemma isid_inv_pushs: ān,g. šā¦ā*[n]gā¦ ā šā¦gā¦.
+#n elim n -n /3 width=3 by isid_inv_push/
+qed.
+
(* Properties with tail *****************************************************)
lemma isid_tl: āf. šā¦fā¦ ā šā¦ā«±fā¦.