From 632e2b3b8444d363c5f8acb87c3695fc781fe35b Mon Sep 17 00:00:00 2001
From: Ferruccio Guidi <ferruccio.guidi@unibo.it>
Date: Tue, 24 May 2016 19:03:09 +0000
Subject: [PATCH] bug fixing ...

---
 .../contribs/lambdadelta/basic_2/rt_transition/cpx.ma  |  2 +-
 .../contribs/lambdadelta/basic_2/rt_transition/lpr.ma  |  4 ++++
 .../matita/contribs/lambdadelta/basic_2/static/lfeq.ma | 10 +++-------
 3 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx.ma
index ac0248923..c7dde663e 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx.ma
@@ -21,7 +21,7 @@ definition cpx (h): relation4 genv lenv term term ≝
                     λG,L,T1,T2. ∃c. ⦃G, L⦄ ⊢ T1 ⬈[c, h] T2.
 
 interpretation
-   "uncounted context-sensitive parallel reduction (term)"
+   "uncounted context-sensitive parallel rt-transition (term)"
    'PRedTy h G L T1 T2 = (cpx h G L T1 T2).
 
 (* Basic properties *********************************************************)
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpr.ma
index f644a728f..24cea1f7e 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpr.ma
@@ -56,6 +56,10 @@ lemma lpr_pair: ∀I,G,K1,K2,V1,V2. ⦃G, K1⦄ ⊢ ➡ K2 → ⦃G, K1⦄ ⊢ V
 lemma lpr_fwd_length: ∀G,L1,L2. ⦃G, L1⦄ ⊢ ➡ L2 → |L1| = |L2|.
 /2 width=2 by lpx_sn_fwd_length/ qed-.
 
+lemma lpr_lpx: ∀h,o,G,L1,L2. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L1⦄ ⊢ ➡[h, o] L2.
+#h #o #G #L1 #L2 #H elim H -L1 -L2 /3 width=1 by lpx_pair, cpr_cpx/
+qed.
+
 (* Basic_1: removed theorems 3: wcpr0_getl wcpr0_getl_back
                                 pr0_subst1_back
 *)
diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfeq.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfeq.ma
index 620397024..1386a6a7d 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lfeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lfeq.ma
@@ -67,19 +67,15 @@ lemma lfeq_inv_lref: ∀Y1,Y2,i. Y1 ≡[#⫯i] Y2 →
                      (Y1 = ⋆ ∧ Y2 = ⋆) ∨ 
                      ∃∃I,L1,L2,V1,V2. L1 ≡[#i] L2 &
                                       Y1 = L1.ⓑ{I}V1 & Y2 = L2.ⓑ{I}V2.
-#Y1 #Y2 #i #H elim (lfxs_inv_lref … H) -H *
-/3 width=8 by ex3_5_intro, or_introl, or_intror, conj/
-qed-.
+/2 width=1 by lfxs_inv_lref/ qed-.
 
 lemma lfeq_inv_bind: ∀p,I,L1,L2,V,T. L1 ≡[ⓑ{p,I}V.T] L2 →
                      L1 ≡[V] L2 ∧ L1.ⓑ{I}V ≡[T] L2.ⓑ{I}V.
-#p #I #L1 #L2 #V #T #H elim (lfxs_inv_bind … H) -H /2 width=3 by conj/
-qed-.
+/2 width=2 by lfxs_inv_bind/ qed-.
 
 lemma lfeq_inv_flat: ∀I,L1,L2,V,T. L1 ≡[ⓕ{I}V.T] L2 →
                      L1 ≡[V] L2 ∧ L1 ≡[T] L2.
-#I #L1 #L2 #V #T #H elim (lfxs_inv_flat … H) -H /2 width=3 by conj/
-qed-.
+/2 width=2 by lfxs_inv_flat/ qed-.
 
 (* Advanced inversion lemmas ************************************************)
 
-- 
2.39.2