X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_drops.ma;h=9483346c4a921133715ffdd4d29f7f1fb96d25b7;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=8c95ffcf6db0a002ee1878780d11743528c1c8a8;hpb=dd93a0919b67bead0d4f07d49dfc198006edc9aa;p=helm.git

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 8c95ffcf6..9483346c4 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 +20,8 @@ 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 +36,8 @@ 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
@@ -49,15 +49,30 @@ lemma cnv_inv_lref_drops (a) (h) (G):
 ]
 qed-.
 
-(* Advanced forward lemmas **************************************************)
-
-lemma cnv_lref_fwd_drops (a) (h) (G):
-                         ∀i,L. ⦃G, L⦄ ⊢ #i ![a, h] →
-                         ∀I,K,V. ⬇*[i] L ≘ K.ⓑ{I}V → ⦃G, K⦄ ⊢ V ![a, h].
-#a #h #o #i #L #H #I #K #V #HLK
+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].
+#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-.   
+qed-.
+
+lemma cnv_inv_lref_atom (a) (h) (b) (G):
+                        ∀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
+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} → ⊥.
+#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
+qed-.
 
 (* Properties with generic slicing for local environments *******************)