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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
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9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "ground/relocation/pr_isi_pushs.ma".
16 include "ground/relocation/pr_isu_uni.ma".
17 include "ground/relocation/pr_coafter_uni_pushs.ma".
18
19 (* RELATIONAL CO-COMPOSITION FOR PARTIAL RELOCATION MAPS ********************)
20
21 (* Constructions with pr_isu and pr_isi *************************************)
22
23 (*** coafter_isuni_isid *)
24 lemma pr_coafter_isu_isi:
25       ∀f2. 𝐈❨f2❩ → ∀f1. 𝐔❨f1❩ → f1 ~⊚ f2 ≘ f2.
26 #f #Hf #g #H
27 elim (pr_isu_inv_uni … H) -H #n #H
28 /5 width=4 by pr_isi_pushs, pr_isi_inv_eq_repl, pr_coafter_eq_repl_back, pr_coafter_eq_repl_back_sn/
29 qed.