- we introduced the pointer_step rc in the perspective of proving

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / unfold / delift_lift.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/unfold/delift_lift.ma b/matita/matita/contribs/lambda_delta/basic_2/unfold/delift_lift.ma
index 9fe72f82dd696ed4bb55dee57a1d351dcaa14194..01ee6108ea5a6e248b2912fc21ce29a4186f83e6 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/unfold/delift_lift.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/unfold/delift_lift.ma
@@ -32,14 +32,14 @@ qed.
 
 fact sfr_delift_aux: ∀L,T,T1,d,e. d + e ≤ |L| → ≽ [d, e] L → T = T1 →
                      ∃T2. L ⊢ ▼*[d, e] T1 ≡ T2.
-#L #T @(cw_wf_ind … L T) -L -T #L #T #IH * * /2 width=2/
+#L #T @(fw_ind … L T) -L -T #L #T #IH * * /2 width=2/
 [ #i #d #e #Hde #HL #H destruct
   elim (lt_or_ge i d) #Hdi [ /3 width=2/ ]
   elim (lt_or_ge i (d+e)) #Hide [2: /3 width=2/ ]
   lapply (lt_to_le_to_lt … Hide Hde) #Hi
-  elim (ldrop_O1 … Hi) -Hi #I #K #V1 #HLK
+  elim (ldrop_O1_lt … Hi) -Hi #I #K #V1 #HLK
   lapply (sfr_inv_ldrop … HLK … HL ? ?) // #H destruct
-  lapply (ldrop_pair2_fwd_cw … HLK (#i)) #HKL
+  lapply (ldrop_pair2_fwd_fw … HLK (#i)) #HKL
   lapply (ldrop_fwd_ldrop2 … HLK) #HLK0
   lapply (ldrop_fwd_O1_length … HLK0) #H
   lapply (sfr_ldrop_trans_be_up … HLK0 … HL ? ?) -HLK0 -HL
@@ -47,7 +47,7 @@ fact sfr_delift_aux: ∀L,T,T1,d,e. d + e ≤ |L| → ≽ [d, e] L → T = T1 
   elim (IH … HKL … HK ?) -IH -HKL -HK
   [3: // |2: skip |4: >H -H /2 width=1/ ] -Hde -H #V2 #V12 (**) (* H erased two times *)
   elim (lift_total V2 0 d) /3 width=7/
-| #I #V1 #T1 #d #e #Hde #HL #H destruct
+| #a #I #V1 #T1 #d #e #Hde #HL #H destruct
   elim (IH … V1 … Hde HL ?) [2,4: // |3: skip ] #V2 #HV12
   elim (IH (L.ⓑ{I}V1) T1 ? ? (d+1) e ? ? ?) -IH [3,6: // |2: skip |4,5: /2 width=1/ ] -Hde -HL #T2 #HT12
   lapply (delift_lsubs_trans … HT12 (L.ⓑ{I}V2) ?) -HT12 /2 width=1/ /3 width=4/