- new component for restricted computation (delta, zeta and tau only)

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / unfold / cpss_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/unfold/cpss_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/unfold/cpss_lift.ma
index 616ea63c7d6426d571cccb05ba86da822645996b..d41e0ac18c1993c2c55d666f5fe7e58688d4d5b0 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/unfold/cpss_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/unfold/cpss_lift.ma
@@ -19,49 +19,51 @@ include "basic_2/unfold/cpss.ma".
 
 (* Relocation properties ****************************************************)
 
+(* Basic_1: was only: subst1_lift_lt subst1_lift_ge *)
 lemma cpss_lift: l_liftable cpss.
 #K #T1 #T2 #H elim H -K -T1 -T2
-[ #K #I #L #d #e #_ #U1 #H1 #U2 #H2
+[ #I #K #L #d #e #_ #U1 #H1 #U2 #H2
   >(lift_mono … H1 … H2) -H1 -H2 //
 | #K #KV #V #V2 #W2 #i #HKV #HV2 #HVW2 #IHV2 #L #d #e #HLK #U1 #H #U2 #HWU2
   elim (lift_inv_lref1 … H) * #Hid #H destruct
-  [ elim (lift_trans_ge … HVW2 … HWU2 ?) -W2 // <minus_plus #W2 #HVW2 #HWU2
-    elim (ldrop_trans_le … HLK … HKV ?) -K /2 width=2/ #X #HLK #H
-    elim (ldrop_inv_skip2 … H ?) -H /2 width=1/ -Hid #K #Y #HKV #HVY #H destruct /3 width=8/
+  [ elim (lift_trans_ge … HVW2 … HWU2) -W2 // <minus_plus #W2 #HVW2 #HWU2
+    elim (ldrop_trans_le … HLK … HKV) -K /2 width=2/ #X #HLK #H
+    elim (ldrop_inv_skip2 … H) -H /2 width=1/ -Hid #K #Y #HKV #HVY #H destruct /3 width=8/
   | lapply (lift_trans_be … HVW2 … HWU2 ? ?) -W2 // /2 width=1/ >plus_plus_comm_23 #HVU2
     lapply (ldrop_trans_ge_comm … HLK … HKV ?) -K // -Hid /3 width=6/
   ]
-| #K #a #I #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L #d #e #HLK #U1 #H1 #U2 #H2
+| #a #I #K #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L #d #e #HLK #U1 #H1 #U2 #H2
   elim (lift_inv_bind1 … H1) -H1 #VV1 #TT1 #HVV1 #HTT1 #H1 destruct
   elim (lift_inv_bind1 … H2) -H2 #VV2 #TT2 #HVV2 #HTT2 #H2 destruct /4 width=5/
-| #K #I #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L #d #e #HLK #U1 #H1 #U2 #H2
+| #I #K #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L #d #e #HLK #U1 #H1 #U2 #H2
   elim (lift_inv_flat1 … H1) -H1 #VV1 #TT1 #HVV1 #HTT1 #H1 destruct
   elim (lift_inv_flat1 … H2) -H2 #VV2 #TT2 #HVV2 #HTT2 #H2 destruct /3 width=6/
 ]
 qed.
 
+(* Basic_1: was only: subst1_gen_lift_lt subst1_gen_lift_ge *)
 lemma cpss_inv_lift1: l_deliftable_sn cpss.
 #L #U1 #U2 #H elim H -L -U1 -U2
-[ #L * #i #K #d #e #_ #T1 #H
+[ * #L #i #K #d #e #_ #T1 #H
   [ lapply (lift_inv_sort2 … H) -H #H destruct /2 width=3/
   | elim (lift_inv_lref2 … H) -H * #Hid #H destruct /3 width=3/
   | lapply (lift_inv_gref2 … H) -H #H destruct /2 width=3/
   ]
 | #L #LV #V #V2 #W2 #i #HLV #HV2 #HVW2 #IHV2 #K #d #e #HLK #T1 #H
   elim (lift_inv_lref2 … H) -H * #Hid #H destruct
-  [ elim (ldrop_conf_lt … HLK … HLV ?) -L // #L #U #HKL #HLV #HUV
+  [ elim (ldrop_conf_lt … HLK … HLV) -L // #L #U #HKL #HLV #HUV
     elim (IHV2 … HLV … HUV) -V #U2 #HUV2 #HU2
-    elim (lift_trans_le … HUV2 … HVW2 ?) -V2 // >minus_plus <plus_minus_m_m // -Hid /3 width=8/
+    elim (lift_trans_le … HUV2 … HVW2) -V2 // >minus_plus <plus_minus_m_m // -Hid /3 width=8/
   | elim (le_inv_plus_l … Hid) #Hdie #Hei
     lapply (ldrop_conf_ge … HLK … HLV ?) -L // #HKLV
-    elim (lift_split … HVW2 d (i - e + 1) ? ? ?) -HVW2 [4: // |3: /2 width=1/ |2: /3 width=1/ ] -Hid -Hdie
+    elim (lift_split … HVW2 d (i - e + 1)) -HVW2 [4: // |3: /2 width=1/ |2: /3 width=1/ ] -Hid -Hdie
     #V1 #HV1 >plus_minus // <minus_minus // /2 width=1/ <minus_n_n <plus_n_O /3 width=8/
   ]
-| #L #a #I #V1 #V2 #U1 #U2 #_ #_ #IHV12 #IHU12 #K #d #e #HLK #X #H
+| #a #I #L #V1 #V2 #U1 #U2 #_ #_ #IHV12 #IHU12 #K #d #e #HLK #X #H
   elim (lift_inv_bind2 … H) -H #W1 #T1 #HWV1 #HTU1 #H destruct
   elim (IHV12 … HLK … HWV1) -IHV12 #W2 #HW12 #HWV2
   elim (IHU12 … HTU1) -IHU12 -HTU1 /3 width=5/
-| #L #I #V1 #V2 #U1 #U2 #_ #_ #IHV12 #IHU12 #K #d #e #HLK #X #H
+| #I #L #V1 #V2 #U1 #U2 #_ #_ #IHV12 #IHU12 #K #d #e #HLK #X #H
   elim (lift_inv_flat2 … H) -H #W1 #T1 #HWV1 #HTU1 #H destruct
   elim (IHV12 … HLK … HWV1) -V1
   elim (IHU12 … HLK … HTU1) -U1 -HLK /3 width=5/