update for the article

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / s_transition / fqu_tdeq.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/s_transition/fqu_tdeq.ma b/matita/matita/contribs/lambdadelta/static_2/s_transition/fqu_tdeq.ma
deleted file mode 100644 (file)
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--- a/matita/matita/contribs/lambdadelta/static_2/s_transition/fqu_tdeq.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/syntax/tdeq.ma".
-include "static_2/s_transition/fqu_length.ma".
-
-(* SUPCLOSURE ***************************************************************)
-
-(* Inversion lemmas with context-free sort-irrelevant equivalence for terms *)
-
-fact fqu_inv_tdeq_aux: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂[b] ⦃G2,L2,T2⦄ →
-                       G1 = G2 → |L1| = |L2| → T1 ≛ T2 → ⊥.
-#b #G1 #G2 #L1 #L2 #T1 #T2 * -G1 -G2 -L1 -L2 -T1 -T2
-[1: #I #G #L #V #_ #H elim (succ_inv_refl_sn … H)
-|6: #I #G #L #T #U #_ #_ #H elim (succ_inv_refl_sn … H)
-]
-/2 width=6 by tdeq_inv_pair_xy_y, tdeq_inv_pair_xy_x/
-qed-.
-
-(* Basic_2A1: uses: fqu_inv_eq *)
-lemma fqu_inv_tdeq: ∀b,G,L1,L2,T1,T2. ⦃G,L1,T1⦄ ⬂[b] ⦃G,L2,T2⦄ →
-                    |L1| = |L2| → T1 ≛ T2 → ⊥.
-#b #G #L1 #L2 #T1 #T2 #H
-@(fqu_inv_tdeq_aux … H) // (**) (* full auto fails *)
-qed-.