ground_2 released and permanently renamed as ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream.ma
deleted file mode 100644 (file)
index c5ccb73..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/relocation/nstream.ma
+++ /dev/null
@@ -1,97 +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/functions/upspoon_1.ma".
-include "ground_2/lib/stream_tls.ma".
-
-(* RELOCATION N-STREAM ******************************************************)
-
-definition rtmap: Type[0] ≝ stream nat.
-
-definition push: rtmap → rtmap ≝ λf. 0⨮f.
-
-interpretation "push (nstream)" 'UpSpoon f = (push f).
-
-definition next: rtmap → rtmap.
-* #n #f @(↑n⨮f)
-defined.
-
-interpretation "next (nstream)" 'UpArrow f = (next f).
-
-(* Basic properties *********************************************************)
-
-lemma push_rew: ∀f. 0⨮f = ⫯f.
-// qed.
-
-lemma next_rew: ∀f,n. (↑n)⨮f = ↑(n⨮f).
-// qed.
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma injective_push: injective ? ? push.
-#f1 #f2 normalize #H destruct //
-qed-.
-
-lemma discr_push_next: ∀f1,f2. ⫯f1 = ↑f2 → ⊥.
-#f1 * #n2 #f2 normalize #H destruct
-qed-.
-
-lemma discr_next_push: ∀f1,f2. ↑f1 = ⫯f2 → ⊥.
-* #n1 #f1 #f2 normalize #H destruct
-qed-.
-
-lemma injective_next: injective ? ? next.
-* #n1 #f1 * #n2 #f2 normalize #H destruct //
-qed-.
-
-lemma push_inv_seq_sn: ∀f,g,n. n⨮g = ⫯f → 0 = n ∧ g = f.
-#f #g #n <push_rew #H destruct /2 width=1 by conj/
-qed-.
-
-lemma push_inv_seq_dx: ∀f,g,n. ⫯f = n⨮g → 0 = n ∧ g = f.
-#f #g #n <push_rew #H destruct /2 width=1 by conj/
-qed-.
-
-lemma next_inv_seq_sn: ∀f,g,n. n⨮g = ↑f → ∃∃m. m⨮g = f & ↑m = n.
-* #m #f #g #n <next_rew #H destruct /2 width=3 by ex2_intro/
-qed-.
-
-lemma next_inv_seq_dx: ∀f,g,n. ↑f = n⨮g → ∃∃m. m⨮g = f & ↑m = n.
-* #m #f #g #n <next_rew #H destruct /2 width=3 by ex2_intro/
-qed-.
-
-lemma case_prop: ∀R:predicate rtmap.
-                 (∀f. R (⫯f)) → (∀f. R (↑f)) → ∀f. R f.
-#R #H1 #H2 * * //
-qed-.
-
-lemma case_type0: ∀R:rtmap→Type[0].
-                  (∀f. R (⫯f)) → (∀f. R (↑f)) → ∀f. R f.
-#R #H1 #H2 * * //
-qed-.
-
-lemma iota_push: ∀R,a,b,f. a f = case_type0 R a b (⫯f).
-// qed.
-
-lemma iota_next: ∀R,a,b,f. b f = case_type0 R a b (↑f).
-#R #a #b * //
-qed.
-
-(* Specific properties ******************************************************)
-
-lemma tl_push: ∀f. f = ⫰⫯f.
-// qed.
-
-lemma tl_next: ∀f. ⫰f = ⫰↑f.
-* // qed.