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1 (**************************************************************************)
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3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "ground/relocation/pr_isi_pat.ma".
16 include "ground/relocation/pr_ist.ma".
17
18 (* TOTALITY CONDITION FOR PARTIAL RELOCATION MAPS ***************************)
19
20 (* Advanced constructions with pr_isi ***************************************)
21
22 (*** isid_at_total *)
23 lemma pr_isi_pat_total: ∀f. 𝐓❨f❩ → (∀i1,i2. @❨i1,f❩ ≘ i2 → i1 = i2) → 𝐈❨f❩.
24 #f #H1f #H2f @pr_isi_pat
25 #i lapply (H1f i) -H1f *
26 #j #Hf >(H2f … Hf) in ⊢ (???%); -H2f //
27 qed.