ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / steps / rtc.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc.ma
deleted file mode 100644 (file)
index 151e6e5..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc.ma
+++ /dev/null
@@ -1,67 +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/xoa/ex_1_2.ma".
-include "ground_2/notation/functions/tuple_4.ma".
-include "ground_2/notation/functions/zerozero_0.ma".
-include "ground_2/notation/functions/zeroone_0.ma".
-include "ground_2/notation/functions/onezero_0.ma".
-include "ground_2/lib/arith.ma".
-
-(* RT-TRANSITION COUNTER ****************************************************)
-
-record rtc: Type[0] ≝ {
-   ri: nat; (* Note: inner r-steps *)
-   rs: nat; (* Note: spine r-steps *)
-   ti: nat; (* Note: inner t-steps *)
-   ts: nat  (* Note: spine t-steps *)
-}.
-
-interpretation "constructor (rtc)"
-   'Tuple ri rs ti ts = (mk_rtc ri rs ti ts).
-
-interpretation "one structural step (rtc)"
-   'ZeroZero = (mk_rtc O O O O).
-
-interpretation "one r-step (rtc)"
-   'OneZero = (mk_rtc O (S O) O O).
-
-interpretation "one t-step (rtc)"
-   'ZeroOne = (mk_rtc O O O (S O)).
-
-definition eq_f: relation rtc ≝ λc1,c2. ⊤.
-
-inductive eq_t: relation rtc ≝
-| eq_t_intro: ∀ri1,ri2,rs1,rs2,ti,ts.
-              eq_t (〈ri1,rs1,ti,ts〉) (〈ri2,rs2,ti,ts〉)
-.
-
-(* Basic properties *********************************************************)
-
-lemma eq_t_refl: reflexive …  eq_t.
-* // qed.
-
-(* Basic inversion lemmas ***************************************************)
-
-fact eq_t_inv_dx_aux: ∀x,y. eq_t x y →
-                      ∀ri1,rs1,ti,ts. x = 〈ri1,rs1,ti,ts〉 →
-                      ∃∃ri2,rs2. y = 〈ri2,rs2,ti,ts〉.
-#x #y * -x -y
-#ri1 #ri #rs1 #rs #ti1 #ts1 #ri2 #rs2 #ti2 #ts2 #H destruct -ri2 -rs2
-/2 width=3 by ex1_2_intro/
-qed-.
-
-lemma eq_t_inv_dx: ∀ri1,rs1,ti,ts,y. eq_t (〈ri1,rs1,ti,ts〉) y →
-                   ∃∃ri2,rs2. y = 〈ri2,rs2,ti,ts〉.
-/2 width=5 by eq_t_inv_dx_aux/ qed-.