From 90c02d72e5bb0ee0a9f98b12c540cca1b0c9c411 Mon Sep 17 00:00:00 2001
From: Ferruccio Guidi <ferruccio.guidi@unibo.it>
Date: Mon, 14 Oct 2019 23:44:24 +0200
Subject: [PATCH] WIP on cpce ...

---
 .../basic_2/dynamic/cnv_cpce_etc.ma           | 20 ++++++++++++++++---
 1 file changed, 17 insertions(+), 3 deletions(-)

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma
index af37a9a30..70370b58b 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma
@@ -1,5 +1,20 @@
 include "basic_2/dynamic/cnv_cpce.ma".
 
+lemma pippo (h) (a) (G) (L0):
+      ∀T0. ⦃G,L0⦄ ⊢ T0 ![h,a] →
+      ∀n,T1. ⦃G,L0⦄ ⊢ T0 ➡[n,h] T1 → ∀T2. ⦃G,L0⦄ ⊢ T0 ⬌η[h] T2 →
+      ∀L1. ⦃G,L0⦄ ⊢ ➡[h] L1 →
+      ∃∃T. ⦃G,L1⦄ ⊢ T1 ⬌η[h] T & ⦃G,L0⦄ ⊢ T2 ➡[n,h] T.
+#h #a #G #L0 * *
+[ #s #_ #n #X1 #HX1 #X2 #HX2 #L1 #HL01
+  elim (cpm_inv_sort1 … HX1) -HX1 #H #Hn destruct
+  lapply (cpce_inv_sort_sn … HX2) -HX2 #H destruct
+  /3 width=3 by cpce_sort, cpm_sort, ex2_intro/
+| #i #_ #n #X1 #HX1 #X2 #HX2 #L1 #HL01
+  elim (drops_F_uni L0 i)
+  [
+  | *
+
 (*
 lemma cpce_inv_eta_drops (h) (n) (G) (L) (i):
       ∀X. ⦃G,L⦄ ⊢ #i ⬌η[h] X →
@@ -7,10 +22,9 @@ lemma cpce_inv_eta_drops (h) (n) (G) (L) (i):
       ∀p,V1,U. ⦃G,K⦄ ⊢ W ➡*[n,h] ⓛ{p}V1.U →
       ∀V2. ⦃G,K⦄ ⊢ V1 ⬌η[h] V2 →
       ∀W2. ⇧*[↑i] V2 ≘ W2 → X = +ⓛW2.ⓐ#0.#↑i.
-*)
-
 
 theorem cpce_mono_cnv (h) (a) (G) (L):
         ∀T. ⦃G,L⦄ ⊢ T ![h,a] →
         ∀T1. ⦃G,L⦄ ⊢ T ⬌η[h] T1 → ∀T2. ⦃G,L⦄ ⊢ T ⬌η[h] T2 → T1 = T2.
-#h #a #G #L #T #HT  
+#h #a #G #L #T #HT
+*)
-- 
2.39.2