+++ /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/static/sta_sta.ma".
-include "basic_2/unfold/lstas_lift.ma".
-
-(* NAT-ITERATED STATIC TYPE ASSIGNMENT FOR TERMS ****************************)
-
-(* Main properties **********************************************************)
-
-theorem lstas_trans: ∀h,G,L. ltransitive … (lstas h G L).
-/2 width=3 by lstar_ltransitive/ qed-.
-
-theorem lstas_mono: ∀h,G,L,l. singlevalued … (lstas h G L l).
-/3 width=7 by sta_mono, lstar_singlevalued/ qed-.
-
-theorem lstas_conf_le: ∀h,G,L,T,U1,l1. ⦃G, L⦄ ⊢ T •*[h, l1] U1 →
- ∀U2,l2. l1 ≤ l2 → ⦃G, L⦄ ⊢ T •*[h, l2] U2 →
- ⦃G, L⦄ ⊢ U1 •*[h, l2-l1] U2.
-#h #G #L #T #U1 #l1 #HTU1 #U2 #l2 #Hl12
->(plus_minus_m_m … Hl12) in ⊢ (%→?); -Hl12 >commutative_plus #H
-elim (lstas_split … H) -H #U #HTU
->(lstas_mono … HTU … HTU1) -T //
-qed-.
-
-(* Advanced properties ******************************************************)
-
-lemma lstas_sta_conf_pos: ∀h,G,L,T,U1. ⦃G, L⦄ ⊢ T •[h] U1 →
- ∀U2,l. ⦃G, L⦄ ⊢ T •*[h, l+1] U2 → ⦃G, L⦄ ⊢ U1 •*[h, l] U2.
-#h #G #L #T #U1 #HTU1 #U2 #l #HTU2
-lapply (lstas_conf_le … T U1 1 … HTU2) -HTU2 /2 width=1 by sta_lstas/
-qed-.
-
-lemma lstas_strip_pos: ∀h,G,L,T1,U1. ⦃G, L⦄ ⊢ T1 •[h] U1 →
- ∀T2,l. ⦃G, L⦄ ⊢ T1 •*[h, l+1] T2 →
- ∃∃U2. ⦃G, L⦄ ⊢ T2 •[h] U2 & ⦃G, L⦄ ⊢ U1 •*[h, l+1] U2.
-#h #G #L #T1 #U1 #HTU1 #T2 #l #HT12
-elim (lstas_fwd_correct … HTU1 … HT12)
-lapply (lstas_sta_conf_pos … HTU1 … HT12) -T1 /3 width=5 by lstas_step_dx, ex2_intro/
-qed-.