ground_2 released and permanently renamed as ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream_eq.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream_eq.ma
deleted file mode 100644 (file)
index 48f3e01..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream_eq.ma
+++ /dev/null
@@ -1,55 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.tcs.unibo.it                            *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "ground_2/relocation/rtmap_eq.ma".
-
-(* RELOCATION N-STREAM ******************************************************)
-
-(* Specific properties ******************************************************)
-
-fact eq_inv_seq_aux: ∀f1,f2,n1,n2. n1⨮f1 ≡ n2⨮f2 → n1 = n2 ∧ f1 ≡ f2.
-#f1 #f2 #n1 #n2 @(nat_elim2 … n1 n2) -n1 -n2
-[ #n2 #H elim (eq_inv_px … H) -H [2,3: // ]
-  #g1 #H1 #H elim (push_inv_seq_dx … H) -H /2 width=1 by conj/
-| #n1 #H elim (eq_inv_np … H) -H //
-| #n1 #n2 #IH #H lapply (eq_inv_nn … H ????) -H [1,2,3,4: // ]
-  #H elim (IH H) -IH -H /2 width=1 by conj/
-]
-qed-.
-
-lemma eq_inv_seq: ∀g1,g2. g1 ≡ g2 → ∀f1,f2,n1,n2. n1⨮f1 = g1 → n2⨮f2 = g2 →
-                  n1 = n2 ∧ f1 ≡ f2.
-/2 width=1 by eq_inv_seq_aux/ qed-.
-
-corec lemma nstream_eq: ∀f1,f2. f1 ≡ f2 → f1 ≗ f2.
-* #n1 #f1 * #n2 #f2 #Hf cases (eq_inv_gen … Hf) -Hf *
-#g1 #g2 #Hg #H1 #H2
-[ cases (push_inv_seq_dx … H1) -H1 * -n1 #H1
-  cases (push_inv_seq_dx … H2) -H2 * -n2 #H2
-  @eq_seq /2 width=1 by/
-| cases (next_inv_seq_dx … H1) -H1 #m1 #H1 * -n1
-  cases (next_inv_seq_dx … H2) -H2 #m2 #H2 * -n2
-  cases (eq_inv_seq … Hg … H1 H2) -g1 -g2 #Hm #Hf
-  @eq_seq /2 width=1 by/
-]
-qed-.
-
-corec lemma nstream_inv_eq: ∀f1,f2. f1 ≗ f2 → f1 ≡ f2.
-* #n1 #f1 * #n2 #f2 #H cases (eq_stream_inv_seq ??? H) -H [2,3,4,5,6,7: // ]
-#Hf * -n2 cases n1 -n1 /3 width=5 by eq_push/
-#n @eq_next /3 width=5 by eq_seq/
-qed.
-
-lemma eq_seq_id: ∀f1,f2. f1 ≡ f2 → ∀n. n⨮f1 ≡ n⨮f2.
-/4 width=1 by nstream_inv_eq, nstream_eq, eq_seq/ qed.