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update in ground and static_2
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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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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/gr_isi_pushs.ma".
16 include "ground/relocation/gr_isu_uni.ma".
17 include "ground/relocation/gr_coafter_uni_pushs.ma".
18
19 (* RELATIONAL CO-COMPOSITION FOR GENERIC RELOCATION MAPS ********************)
20
21 (* Constructions with gr_isu and gr_isi *************************************)
22
23 (*** coafter_isuni_isid *)
24 lemma gr_coafter_isu_isi:
25       ∀f2. 𝐈❪f2❫ → ∀f1. 𝐔❪f1❫ → f1 ~⊚ f2 ≘ f2.
26 #f #Hf #g #H
27 elim (gr_isu_inv_uni … H) -H #n #H
28 /5 width=4 by gr_isi_pushs, gr_isi_inv_eq_repl, gr_coafter_eq_repl_back, gr_coafter_eq_repl_back_sn/
29 qed.