(* Main inversions with pr_eq ***********************************************)
(*** isid_inv_eq_repl *)
-corec theorem pr_isi_inv_eq_repl (g1) (g2): ð\9d\90\88â\9d¨g1â\9d© â\86\92 ð\9d\90\88â\9d¨g2â\9d© â\86\92 g1 â\89¡ g2.
+corec theorem pr_isi_inv_eq_repl (g1) (g2): ð\9d\90\88â\9d¨g1â\9d© â\86\92 ð\9d\90\88â\9d¨g2â\9d© â\86\92 g1 â\89\90 g2.
#H1 #H2
cases (pr_isi_inv_gen … H1) -H1
cases (pr_isi_inv_gen … H2) -H2
(* Alternative definition with pr_eq ****************************************)
(*** eq_push_isid *)
-corec lemma pr_eq_push_isi (f): ⫯f â\89¡ f → 𝐈❨f❩.
+corec lemma pr_eq_push_isi (f): ⫯f â\89\90 f → 𝐈❨f❩.
#H cases (pr_eq_inv_push_sn … H) -H
/4 width=3 by pr_isi_push, pr_eq_trans/
qed.
(*** eq_push_inv_isid *)
-corec lemma pr_isi_inv_eq_push (g): ð\9d\90\88â\9d¨gâ\9d© â\86\92 ⫯g â\89¡ g.
+corec lemma pr_isi_inv_eq_push (g): ð\9d\90\88â\9d¨gâ\9d© â\86\92 ⫯g â\89\90 g.
* -g #f #g #Hf *
/3 width=5 by pr_eq_push/
qed-.