X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fssta_ssta.ma;h=8cc03442d4c2007f07dce7021675b03a7a7405b3;hb=d7ccf1bd91637d3c59a285df6f215ecfde2a2450;hp=b20e4366a631a19f554390189cfeb94bc14f61a9;hpb=e8998d29ab83e7b6aa495a079193705b2f6743d3;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/ssta_ssta.ma b/matita/matita/contribs/lambdadelta/basic_2/static/ssta_ssta.ma
index b20e4366a..8cc03442d 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/ssta_ssta.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/ssta_ssta.ma
@@ -12,38 +12,46 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/substitution/ldrop_ldrop.ma".
-include "basic_2/static/ssta.ma".
+include "basic_2/static/ssta_lift.ma".
 
 (* STRATIFIED STATIC TYPE ASSIGNMENT ON TERMS *******************************)
 
 (* Main properties **********************************************************)
 
 (* Note: apparently this was missing in basic_1 *)
-theorem ssta_mono: ∀h,g,L,T,U1,l1. ⦃h, L⦄ ⊢ T •[g, l1] U1 →
-                   ∀U2,l2. ⦃h, L⦄ ⊢ T •[g, l2] U2 → l1 = l2 ∧ U1 = U2.
-#h #g #L #T #U1 #l1 #H elim H -L -T -U1 -l1
-[ #L #k #l #Hkl #X #l2 #H
+theorem ssta_mono: ∀h,g,G,L,T,U1,l1. ⦃G, L⦄ ⊢ T •[h, g] ⦃l1, U1⦄ →
+                   ∀U2,l2. ⦃G, L⦄ ⊢ T •[h, g] ⦃l2, U2⦄ → l1 = l2 ∧ U1 = U2.
+#h #g #G #L #T #U1 #l1 #H elim H -G -L -T -U1 -l1
+[ #G #L #k #l #Hkl #X #l2 #H
   elim (ssta_inv_sort1 … H) -H #Hkl2 #H destruct
   >(deg_mono … Hkl2 … Hkl) -g -L -l2 /2 width=1/
-| #L #K #V #W #U1 #i #l1 #HLK #_ #HWU1 #IHVW #U2 #l2 #H
+| #G #L #K #V #W #U1 #i #l1 #HLK #_ #HWU1 #IHVW #U2 #l2 #H
   elim (ssta_inv_lref1 … H) -H * #K0 #V0 #W0 [2: #l0] #HLK0 #HVW0 #HW0U2
   lapply (ldrop_mono … HLK0 … HLK) -HLK -HLK0 #H destruct
   lapply (IHVW … HVW0) -IHVW -HVW0 * #H1 #H2 destruct
   >(lift_mono … HWU1 … HW0U2) -W0 -U1 /2 width=1/
-| #L #K #W #V #U1 #i #l1 #HLK #_ #HWU1 #IHWV #U2 #l2 #H
+| #G #L #K #W #V #U1 #i #l1 #HLK #_ #HWU1 #IHWV #U2 #l2 #H
   elim (ssta_inv_lref1 … H) -H * #K0 #W0 #V0 [2: #l0 ] #HLK0 #HWV0 #HV0U2
   lapply (ldrop_mono … HLK0 … HLK) -HLK -HLK0 #H destruct
   lapply (IHWV … HWV0) -IHWV -HWV0 * #H1 #H2 destruct
   >(lift_mono … HWU1 … HV0U2) -W -U1 /2 width=1/
-| #a #I #L #V #T #U1 #l1 #_ #IHTU1 #X #l2 #H
+| #a #I #G #L #V #T #U1 #l1 #_ #IHTU1 #X #l2 #H
   elim (ssta_inv_bind1 … H) -H #U2 #HTU2 #H destruct
   elim (IHTU1 … HTU2) -T /3 width=1/
-| #L #V #T #U1 #l1 #_ #IHTU1 #X #l2 #H
+| #G #L #V #T #U1 #l1 #_ #IHTU1 #X #l2 #H
   elim (ssta_inv_appl1 … H) -H #U2 #HTU2 #H destruct
   elim (IHTU1 … HTU2) -T /3 width=1/
-| #L #W1 #T #U1 #l1 #_ #IHTU1 #U2 #l2 #H
+| #G #L #W1 #T #U1 #l1 #_ #IHTU1 #U2 #l2 #H
   lapply (ssta_inv_cast1 … H) -H #HTU2
   elim (IHTU1 … HTU2) -T /2 width=1/
 ]
 qed-.
+
+(* Advanced inversion lemmas ************************************************)
+
+lemma ssta_inv_refl_pos: ∀h,g,G,L,T,l. ⦃G, L⦄ ⊢ T •[h, g] ⦃l+1, T⦄ → ⊥.
+#h #g #G #L #T #l #HTT
+elim (ssta_fwd_correct … HTT) <minus_plus_m_m #U #HTU
+elim (ssta_mono … HTU … HTT) -h -L #H #_ -T -U
+elim (plus_xySz_x_false 0 l 0 ?) //
+qed-.