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

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / multiple / drops_drop.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/drops_drop.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/drops_drop.ma
index e835b2e18109346e4933b85d2ee46cd3922cc428..2f9a34c08b08c26388f020c78fbc63b66906cb91 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/multiple/drops_drop.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/drops_drop.ma
@@ -19,12 +19,12 @@ include "basic_2/multiple/drops.ma".
 
 (* Properties concerning basic local environment slicing ********************)
 
-lemma drops_drop_trans: ∀L1,L,des. ⬇*[Ⓕ, des] L1 ≡ L → ∀L2,i. ⬇[i] L ≡ L2 →
-                        ∃∃L0,des0,i0. ⬇[i0] L1 ≡ L0 & ⬇*[Ⓕ, des0] L0 ≡ L2 &
-                                      @⦃i, des⦄ ≡ i0 & des ▭ i ≡ des0.
-#L1 #L #des #H elim H -L1 -L -des
+lemma drops_drop_trans: ∀L1,L,cs. ⬇*[Ⓕ, cs] L1 ≡ L → ∀L2,i. ⬇[i] L ≡ L2 →
+                        ∃∃L0,cs0,i0. ⬇[i0] L1 ≡ L0 & ⬇*[Ⓕ, cs0] L0 ≡ L2 &
+                                      @⦃i, cs⦄ ≡ i0 & cs ▭ i ≡ cs0.
+#L1 #L #cs #H elim H -L1 -L -cs
 [ /2 width=7 by drops_nil, minuss_nil, at_nil, ex4_3_intro/
-| #L1 #L0 #L #des #l #m #_ #HL0 #IHL0 #L2 #i #HL2
+| #L1 #L0 #L #cs #l #m #_ #HL0 #IHL0 #L2 #i #HL2
   elim (lt_or_ge i l) #Hil
   [ elim (drop_trans_le … HL0 … HL2) -L /2 width=2 by lt_to_le/
     #L #HL0 #HL2 elim (IHL0 … HL0) -L0 /3 width=7 by drops_cons, minuss_lt, at_lt, ex4_3_intro/