]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/aaa_aaa.ma
- the trace is explicit in all auto tactics with depth > 1
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / aaa_aaa.ma
index 2c6d530dbc33a73de12652b612cbea7d83f977c6..76bf7e529eb04fdaebadcf601b98addc9c729b0f 100644 (file)
@@ -25,15 +25,15 @@ theorem aaa_mono: ∀G,L,T,A1. ⦃G, L⦄ ⊢ T ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢
   >(aaa_inv_sort … H) -H //
 | #I1 #G #L #K1 #V1 #B #i #HLK1 #_ #IHA1 #A2 #H
   elim (aaa_inv_lref … H) -H #I2 #K2 #V2 #HLK2 #HA2
-  lapply (drop_mono … HLK1 … HLK2) -L #H destruct /2 width=1/
+  lapply (drop_mono … HLK1 … HLK2) -L #H destruct /2 width=1 by/
 | #a #G #L #V #T #B1 #A1 #_ #_ #_ #IHA1 #A2 #H
-  elim (aaa_inv_abbr … H) -H /2 width=1/
+  elim (aaa_inv_abbr … H) -H /2 width=1 by/
 | #a #G #L #V1 #T1 #B1 #A1 #_ #_ #IHB1 #IHA1 #X #H
-  elim (aaa_inv_abst … H) -H #B2 #A2 #HB2 #HA2 #H destruct /3 width=1/
+  elim (aaa_inv_abst … H) -H #B2 #A2 #HB2 #HA2 #H destruct /3 width=1 by eq_f2/
 | #G #L #V1 #T1 #B1 #A1 #_ #_ #_ #IHA1 #A2 #H
   elim (aaa_inv_appl … H) -H #B2 #_ #HA2
   lapply (IHA1 … HA2) -L #H destruct //
 | #G #L #V #T #A1 #_ #_ #_ #IHA1 #A2 #H
-  elim (aaa_inv_cast … H) -H /2 width=1/
+  elim (aaa_inv_cast … H) -H /2 width=1 by/
 ]
 qed-.