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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
new file mode 100644
index 000000000..861161f21
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma
@@ -0,0 +1,30 @@
+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 →
+      ∀K,W. ⇩*[i] L ≘ K.ⓛW →
+      ∀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
+*)