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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..af37a9a30
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+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce_etc.ma
@@ -0,0 +1,16 @@
+include "basic_2/dynamic/cnv_cpce.ma".
+
+(*
+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