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diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma
index e7c4a6c61..4ce63d92a 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma
@@ -23,3 +23,9 @@ include "basic_2/dynamic/cnv_aaa.ma".
 lemma cnv_fwd_fsb (a) (h) (o): ∀G,L,T. ⦃G, L⦄ ⊢ T ![a, h] → ≥[h, o] 𝐒⦃G, L, T⦄.
 #a #h #o #G #L #T #H elim (cnv_fwd_aaa … H) -H /2 width=2 by aaa_fsb/
 qed-.
+
+(* Inversion lemmas with proper parallel rst-computation for closures *******)
+
+lemma cnv_fpbg_refl_false (a) (h) (o) (G) (L) (T):
+                          ⦃G, L⦄ ⊢ T ![a,h] → ⦃G, L, T⦄ >[h,o] ⦃G, L, T⦄ → ⊥.
+/3 width=7 by cnv_fwd_fsb, fsb_fpbg_refl_false/ qed-.