- the trace is explicit in all auto tactics with depth > 1

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lsubd_da.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsubd_da.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsubd_da.ma
index 457b64e77fe09b73edd3ff27d03f742be301df0b..111a0103a5f83fd1ebc1470a962b94862402f42a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsubd_da.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsubd_da.ma
@@ -22,44 +22,44 @@ include "basic_2/static/lsubd.ma".
 lemma lsubd_da_trans: ∀h,g,G,L2,T,d. ⦃G, L2⦄ ⊢ T ▪[h, g] d →
                       ∀L1. G ⊢ L1 ⫃▪[h, g] L2 → ⦃G, L1⦄ ⊢ T ▪[h, g] d.
 #h #g #G #L2 #T #d #H elim H -G -L2 -T -d
-[ /2 width=1/
+[ /2 width=1 by da_sort/
 | #G #L2 #K2 #V #i #d #HLK2 #_ #IHV #L1 #HL12
   elim (lsubd_drop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
   elim (lsubd_inv_pair2 … H) -H * #K1 [ | -IHV -HLK1 ]
-  [ #HK12 #H destruct /3 width=4/
+  [ #HK12 #H destruct /3 width=4 by da_ldef/
   | #W #d0 #_ #_ #_ #H destruct
   ]
 | #G #L2 #K2 #W #i #d #HLK2 #HW #IHW #L1 #HL12
   elim (lsubd_drop_O1_trans … HL12 … HLK2) -L2 #X #H #HLK1
   elim (lsubd_inv_pair2 … H) -H * #K1 [ -HW | -IHW ]
-  [ #HK12 #H destruct /3 width=4/
+  [ #HK12 #H destruct /3 width=4 by da_ldec/
   | #V #d0 #HV #H0W #_ #_ #H destruct
-    lapply (da_mono … H0W … HW) -H0W -HW #H destruct /3 width=7/
+    lapply (da_mono … H0W … HW) -H0W -HW #H destruct /3 width=7 by da_ldef, da_flat/
   ]
-| /4 width=1/
-| /3 width=1/
+| /4 width=1 by lsubd_pair, da_bind/
+| /3 width=1 by da_flat/
 ]
 qed-.
 
 lemma lsubd_da_conf: ∀h,g,G,L1,T,d. ⦃G, L1⦄ ⊢ T ▪[h, g] d →
                      ∀L2. G ⊢ L1 ⫃▪[h, g] L2 → ⦃G, L2⦄ ⊢ T ▪[h, g] d.
 #h #g #G #L1 #T #d #H elim H -G -L1 -T -d
-[ /2 width=1/
+[ /2 width=1 by da_sort/
 | #G #L1 #K1 #V #i #d #HLK1 #HV #IHV #L2 #HL12
   elim (lsubd_drop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2
   elim (lsubd_inv_pair1 … H) -H * #K2 [ -HV | -IHV ]
-  [ #HK12 #H destruct /3 width=4/
+  [ #HK12 #H destruct /3 width=4 by da_ldef/
   | #W0 #V0 #d0 #HV0 #HW0 #_ #_ #H1 #H2 destruct
     lapply (da_inv_flat … HV) -HV #H0V0
-    lapply (da_mono … H0V0 … HV0) -H0V0 -HV0 #H destruct /2 width=4/
+    lapply (da_mono … H0V0 … HV0) -H0V0 -HV0 #H destruct /2 width=4 by da_ldec/
   ]
 | #G #L1 #K1 #W #i #d #HLK1 #HW #IHW #L2 #HL12
   elim (lsubd_drop_O1_conf … HL12 … HLK1) -L1 #X #H #HLK2
   elim (lsubd_inv_pair1 … H) -H * #K2 [ -HW | -IHW ]
-  [ #HK12 #H destruct /3 width=4/
+  [ #HK12 #H destruct /3 width=4 by da_ldec/
   | #W0 #V0 #d0 #HV0 #HW0 #_ #H destruct
   ]
-| /4 width=1/
-| /3 width=1/
+| /4 width=1 by lsubd_pair, da_bind/
+| /3 width=1 by da_flat/
 ]
 qed-.