severe bug found in parallel zeta

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpm_tdeq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_tdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_tdeq.ma
new file mode 100644 (file)
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "static_2/syntax/tdeq.ma".
+include "basic_2/rt_transition/cpm_drops.ma".
+
+(* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+
+(* Inversion lemmas with degree-based equivalence for terms *****************)
+
+lemma cpm_tdeq_inv_lref (n) (h) (o) (G) (L) (i):
+                        ∀X.  ⦃G, L⦄ ⊢ #i ➡[n,h] X → #i ≛[h,o] X →
+                        ∧∧ X = #i & n = 0.
+#n #h #o #G #L #i #X #H1 #H2
+lapply (tdeq_inv_lref1 … H2) -H2 #H destruct
+elim (cpm_inv_lref1_drops … H1) -H1 // * [| #m ]
+#K #V1 #V2 #_ #_ #H -V1
+elim (lifts_inv_lref2_uni_lt … H) -H //
+qed-.