+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "basic_2/substitution/csup_csup.ma".
-include "basic_2/unfold/csups.ma".
-
-(* STAR-ITERATED SUPCLOSURE *************************************************)
-
-(* Advanced forward lemmas **************************************************)
-
-(*
-lemma csupp_strap2_fwd_refl: ∀L,L0,T1,T2. ⦃L, T1⦄ > ⦃L0, T2⦄ →
- ∀T3. ⦃L0, T2⦄ >+ ⦃L, T3⦄ →
- L = L0 ∨ ⦃L, T1⦄ >+ ⦃L, T3⦄.
-#L #L0 #T1 #T2 * -L -L0 -T1 -T2 /2 width=1/
-[ #I #L0 #K0 #V0 #i #HLK0 #T3 #H
- lapply (ldrop_pair2_fwd_cw … HLK0 T3) -HLK0 #H1
- lapply (csupp_fwd_cw … H) -H #H2
- lapply (transitive_lt … H1 H2) -H1 -H2 #H
- elim (lt_refl_false … H)
-| #a #I #L0 #V2 #T2 #T3 #HT23
- /3 width=5/
-
- elim (csup_inv_ldrop … HT23 I V2 0 ?) -HT23 // #H1 #H2 destruct /2 width=1/
- qed-.
-
-
-
-
-
-
-
-
-lemma csups_strap1_fwd_refl: ∀L,L0,T1,T2. ⦃L, T1⦄ >* ⦃L0, T2⦄ →
- ∀T3. ⦃L0, T2⦄ > ⦃L, T3⦄ → L = L0.
-#L #L0 #T1 #T2 #H @(csups_ind_dx … H) -L -T1 //
-#L1 #L #T1 #T #HL1 #_ #IHL0 #T3 #HL0
-lapply (csup_trans_fwd_refl … HL10) … HL0) -T2
-*)
-lemma lift_csups_trans_aux: ∀T1,U1,d,e. ⇧[d, e] T1 ≡ U1 →
- ∀L1,L2,U2. ⦃L1, U1⦄ >* ⦃L2, U2⦄ → L1 = L2 →
- ∃T2. ⇧[d, e] T2 ≡ U2.
-#T1 #U1 #d #e #HTU1 #L1 #L2 #U2 #H @(csups_ind … H) -L2 -U2 /2 width=2/ -T1
-#L #L2 #U #U2 #HL1 #HL2 #IHL1 #H destruct
-
-* -T1 -U1 -d -e