- commit of the "reduction" component with two additions ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / cpy_cpy.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/cpy_cpy.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/cpy_cpy.ma
index 2acd3705cb1cce97924da15f0ba3617fd87ff184..a601a989e05e4d4f8c79ba33c05721e826e9877e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/cpy_cpy.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/cpy_cpy.ma
@@ -32,11 +32,11 @@ theorem cpy_conf_eq: ∀G,L,T0,T1,d1,e1. ⦃G, L⦄ ⊢ T0 ▶×[d1, e1] T1 →
   ]
 | #a #I #G #L #V0 #V1 #T0 #T1 #d1 #e1 #_ #_ #IHV01 #IHT01 #X #d2 #e2 #HX
   elim (cpy_inv_bind1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct
-  lapply (lsuby_cpy_trans … HT02 (L.ⓑ{I}V1) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02
-  elim (IHV01 … HV02) -V0 #V #HV1 #HV2
+  elim (IHV01 … HV02) -IHV01 -HV02 #V #HV1 #HV2
   elim (IHT01 … HT02) -T0 #T #HT1 #HT2
-  lapply (lsuby_cpy_trans … HT1 (L.ⓑ{I}V) ?) -HT1 /2 width=1 by lsuby_succ/
-  lapply (lsuby_cpy_trans … HT2 (L.ⓑ{I}V) ?) -HT2 /3 width=5 by cpy_bind, lsuby_succ, ex2_intro/
+  lapply (lsuby_cpy_trans … HT1 (L.ⓑ{I}V1) ?) -HT1 /2 width=1 by lsuby_succ/
+  lapply (lsuby_cpy_trans … HT2 (L.ⓑ{I}V2) ?) -HT2
+  /3 width=5 by cpy_bind, lsuby_succ, ex2_intro/
 | #I #G #L #V0 #V1 #T0 #T1 #d1 #e1 #_ #_ #IHV01 #IHT01 #X #d2 #e2 #HX
   elim (cpy_inv_flat1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct
   elim (IHV01 … HV02) -V0
@@ -60,11 +60,11 @@ theorem cpy_conf_neq: ∀G,L1,T0,T1,d1,e1. ⦃G, L1⦄ ⊢ T0 ▶×[d1, e1] T1 
   ]
 | #a #I #G #L1 #V0 #V1 #T0 #T1 #d1 #e1 #_ #_ #IHV01 #IHT01 #L2 #X #d2 #e2 #HX #H
   elim (cpy_inv_bind1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct
-  elim (IHV01 … HV02 H) -V0 #V #HV1 #HV2
+  elim (IHV01 … HV02 H) -IHV01 -HV02 #V #HV1 #HV2
   elim (IHT01 … HT02) -T0
   [ -H #T #HT1 #HT2
-    lapply (lsuby_cpy_trans … HT1 (L2.ⓑ{I}V) ?) -HT1 /2 width=1 by lsuby_succ/
-    lapply (lsuby_cpy_trans … HT2 (L1.ⓑ{I}V) ?) -HT2 /3 width=5 by cpy_bind, lsuby_succ, ex2_intro/
+    lapply (lsuby_cpy_trans … HT1 (L2.ⓑ{I}V1) ?) -HT1 /2 width=1 by lsuby_succ/
+    lapply (lsuby_cpy_trans … HT2 (L1.ⓑ{I}V2) ?) -HT2 /3 width=5 by cpy_bind, lsuby_succ, ex2_intro/
   | -HV1 -HV2 elim H -H /3 width=1 by yle_succ, or_introl, or_intror/
   ]
 | #I #G #L1 #V0 #V1 #T0 #T1 #d1 #e1 #_ #_ #IHV01 #IHT01 #L2 #X #d2 #e2 #HX #H
@@ -89,9 +89,8 @@ theorem cpy_trans_ge: ∀G,L,T1,T0,d,e. ⦃G, L⦄ ⊢ T1 ▶×[d, e] T0 →
   >yplus_inj #HVT2 <(cpy_inv_lift1_eq … HVW … HVT2) -HVT2 /2 width=5 by cpy_subst/
 | #a #I #G #L #V1 #V0 #T1 #T0 #d #e #_ #_ #IHV10 #IHT10 #X #H #He
   elim (cpy_inv_bind1 … H) -H #V2 #T2 #HV02 #HT02 #H destruct
-  lapply (lsuby_cpy_trans … HT02 (L.ⓑ{I}V0) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02
-  lapply (IHT10 … HT02 He) -T0 #HT12
-  lapply (lsuby_cpy_trans … HT12 (L.ⓑ{I}V2) ?) -HT12 /3 width=1 by cpy_bind, lsuby_succ/
+  lapply (lsuby_cpy_trans … HT02 (L.ⓑ{I}V1) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02
+  lapply (IHT10 … HT02 He) -T0 /3 width=1 by cpy_bind/
 | #I #G #L #V1 #V0 #T1 #T0 #d #e #_ #_ #IHV10 #IHT10 #X #H #He
   elim (cpy_inv_flat1 … H) -H #V2 #T2 #HV02 #HT02 #H destruct /3 width=1 by cpy_flat/
 ]
@@ -108,11 +107,10 @@ theorem cpy_trans_down: ∀G,L,T1,T0,d1,e1. ⦃G, L⦄ ⊢ T1 ▶×[d1, e1] T0 
   >yplus_inj #HWT2 <(cpy_inv_lift1_eq … HVW … HWT2) -HWT2 /3 width=9 by cpy_subst, ex2_intro/
 | #a #I #G #L #V1 #V0 #T1 #T0 #d1 #e1 #_ #_ #IHV10 #IHT10 #X #d2 #e2 #HX #de2d1
   elim (cpy_inv_bind1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct
-  lapply (lsuby_cpy_trans … HT02 (L. ⓑ{I} V0) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02
+  lapply (lsuby_cpy_trans … HT02 (L.ⓑ{I}V1) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02
   elim (IHV10 … HV02) -IHV10 -HV02 // #V
   elim (IHT10 … HT02) -T0 /2 width=1 by yle_succ/ #T #HT1 #HT2
-  lapply (lsuby_cpy_trans … HT1 (L. ⓑ{I} V) ?) -HT1 /2 width=1 by lsuby_succ/
-  lapply (lsuby_cpy_trans … HT2 (L. ⓑ{I} V2) ?) -HT2 /3 width=6 by cpy_bind, lsuby_succ, ex2_intro/
+  lapply (lsuby_cpy_trans … HT2 (L.ⓑ{I}V) ?) -HT2 /3 width=6 by cpy_bind, lsuby_succ, ex2_intro/
 | #I #G #L #V1 #V0 #T1 #T0 #d1 #e1 #_ #_ #IHV10 #IHT10 #X #d2 #e2 #HX #de2d1
   elim (cpy_inv_flat1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct
   elim (IHV10 … HV02) -V0 //