ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / relocation / rtmap_isuni.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_isuni.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_isuni.ma
deleted file mode 100644 (file)
index b88288a..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_isuni.ma
+++ /dev/null
@@ -1,56 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "ground_2/notation/relations/isuniform_1.ma".
-include "ground_2/relocation/rtmap_isfin.ma".
-
-(* RELOCATION MAP ***********************************************************)
-
-inductive isuni: predicate rtmap ≝
-| isuni_isid: ∀f. 𝐈❪f❫ → isuni f
-| isuni_next: ∀f. isuni f → ∀g. ↑f = g → isuni g
-.
-
-interpretation "test for uniformity (rtmap)"
-   'IsUniform f = (isuni f).
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma isuni_inv_push: ∀g. 𝐔❪g❫ → ∀f. ⫯f = g → 𝐈❪f❫.
-#g * -g /2 width=3 by isid_inv_push/
-#f #_ #g #H #x #Hx destruct elim (discr_push_next … Hx)
-qed-.
-
-lemma isuni_inv_next: ∀g. 𝐔❪g❫ → ∀f. ↑f = g → 𝐔❪f❫.
-#g * -g #f #Hf
-[ #x #Hx elim (isid_inv_next … Hf … Hx)
-| #g #H #x #Hx destruct /2 width=1 by injective_push/
-]
-qed-.
-
-lemma isuni_split: ∀g. 𝐔❪g❫ → (∃∃f. 𝐈❪f❫ & ⫯f = g) ∨ (∃∃f.𝐔❪f❫ & ↑f = g).
-#g #H elim (pn_split g) * #f #Hf
-/4 width=3 by isuni_inv_next, isuni_inv_push, or_introl, or_intror, ex2_intro/
-qed-.
-
-(* basic forward lemmas *****************************************************)
-
-lemma isuni_fwd_push: ∀g. 𝐔❪g❫ → ∀f. ⫯f = g → 𝐔❪f❫.
-/3 width=3 by isuni_inv_push, isuni_isid/ qed-.
-
-(* Forward lemmas with test for finite colength *****************************)
-
-lemma isuni_fwd_isfin: ∀f. 𝐔❪f❫ → 𝐅❪f❫.
-#f #H elim H -f /3 width=1 by isfin_next, isfin_isid/
-qed-.