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diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma
index 9483346c4..71e115777 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_drops.ma
@@ -20,8 +20,9 @@ include "basic_2/dynamic/cnv.ma".
 (* Advanced dproperties *****************************************************)
 
 (* Basic_2A1: uses: snv_lref *)
-lemma cnv_lref_drops (a) (h) (G): ∀I,K,V,i,L. ⦃G,K⦄ ⊢ V ![a,h] →
-                                  ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G,L⦄ ⊢ #i ![a,h].
+lemma cnv_lref_drops (a) (h) (G):
+      ∀I,K,V,i,L. ⦃G,K⦄ ⊢ V ![a,h] →
+      ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G,L⦄ ⊢ #i ![a,h].
 #a #h #G #I #K #V #i elim i -i
 [ #L #HV #H
   lapply (drops_fwd_isid … H ?) -H // #H destruct
@@ -36,8 +37,8 @@ qed.
 
 (* Basic_2A1: uses: snv_inv_lref *)
 lemma cnv_inv_lref_drops (a) (h) (G):
-                         ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] →
-                         ∃∃I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V & ⦃G,K⦄ ⊢ V ![a,h].
+      ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] →
+      ∃∃I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V & ⦃G,K⦄ ⊢ V ![a,h].
 #a #h #G #i elim i -i
 [ #L #H
   elim (cnv_inv_zero … H) -H #I #K #V #HV #H destruct
@@ -50,16 +51,15 @@ lemma cnv_inv_lref_drops (a) (h) (G):
 qed-.
 
 lemma cnv_inv_lref_pair (a) (h) (G):
-                        ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] →
-                        ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G,K⦄ ⊢ V ![a,h].
+      ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] →
+      ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G,K⦄ ⊢ V ![a,h].
 #a #h #G #i #L #H #I #K #V #HLK
 elim (cnv_inv_lref_drops … H) -H #Z #Y #X #HLY #HX
 lapply (drops_mono … HLY … HLK) -L #H destruct //
 qed-.
 
 lemma cnv_inv_lref_atom (a) (h) (b) (G):
-                        ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] →
-                        ⬇*[b,𝐔❴i❵] L ≘ ⋆ → ⊥.
+      ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] → ⬇*[b,𝐔❴i❵] L ≘ ⋆ → ⊥.
 #a #h #b #G #i #L #H #Hi
 elim (cnv_inv_lref_drops … H) -H #Z #Y #X #HLY #_
 lapply (drops_gen b … HLY) -HLY #HLY
@@ -67,8 +67,8 @@ lapply (drops_mono … HLY … Hi) -L #H destruct
 qed-.
 
 lemma cnv_inv_lref_unit (a) (h) (G):
-                        ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] →
-                        ∀I,K. ⬇*[i] L ≘ K.ⓤ{I} → ⊥.
+      ∀i,L. ⦃G,L⦄ ⊢ #i ![a,h] →
+      ∀I,K. ⬇*[i] L ≘ K.ⓤ{I} → ⊥.
 #a #h #G #i #L #H #I #K #HLK
 elim (cnv_inv_lref_drops … H) -H #Z #Y #X #HLY #_
 lapply (drops_mono … HLY … HLK) -L #H destruct