]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_rdeq.ma
milestone in basic_2 with additions in static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cwhx_rdeq.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cwhx_rdeq.ma
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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/static/rdeq_fqup.ma".
-include "basic_2/rt_transition/cwhx.ma".
-
-(* WHD NORMAL TERMS FOR UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ****)
-
-(* Properties with sort-irrelevant equivalence ******************************)
-
-lemma rdeq_tdeq_cwhx_trans (h) (G):
-                           ∀L2,T2. ⦃G,L2⦄ ⊢ ⬈[h] 𝐖𝐇⦃T2⦄ →
-                           ∀T1. T1 ≛ T2 →
-                           ∀L1. L1 ≛[T1] L2 → ⦃G,L1⦄ ⊢ ⬈[h] 𝐖𝐇⦃T1⦄.
-#h #G #L2 #T2 #H elim H -L2 -T2
-[ #L2 #s2 #X1 #HX #L1 #HL
-  elim (tdeq_inv_sort2 … HX) -HX #s1 #H destruct -s2 //
-| #p #L2 #W2 #T2 #X1 #HX #L1 #HL
-  elim (tdeq_inv_pair2 … HX) -HX #W1 #T1 #_ #_ #H destruct -W2 -T2 //
-| #L2 #V2 #T2 #_ #IH #X1 #HX #L1 #HL
-  elim (tdeq_inv_pair2 … HX) -HX #V1 #T1 #HV12 #HT12 #H destruct
-  elim (rdeq_inv_bind … HL) -HL #HV1 #HT1
-  /5 width=2 by cwhx_ldef, rdeq_bind_repl_dx, ext2_pair/
-]
-qed-.
-
-lemma tdeq_cwhx_trans (h) (G) (L):
-                      ∀T2. ⦃G,L⦄ ⊢ ⬈[h] 𝐖𝐇⦃T2⦄ →
-                      ∀T1. T1 ≛ T2 → ⦃G,L⦄ ⊢ ⬈[h] 𝐖𝐇⦃T1⦄.
-/3 width=5 by rdeq_tdeq_cwhx_trans/ qed-.