+++ /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/syntax/cl_weight.ma".
-include "basic_2/relocation/lifts_weight.ma".
-include "basic_2/s_transition/fqu.ma".
-
-(* SUPCLOSURE ***************************************************************)
-
-(* Forward lemmas with weight for closures **********************************)
-
-lemma fqu_fwd_fw: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ →
- ♯{G2, L2, T2} < ♯{G1, L1, T1}.
-#b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 //
-#I #I1 #I2 #G #L #HI12 normalize in ⊢ (?%%); -I1
-<(lifts_fwd_tw … HI12) /3 width=1 by monotonic_lt_plus_r, monotonic_lt_plus_l/
-qed-.
-
-(* Advanced eliminators *****************************************************)
-
-lemma fqu_wf_ind: ∀b. ∀Q:relation3 …. (
- ∀G1,L1,T1. (∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ → Q G2 L2 T2) →
- Q G1 L1 T1
- ) → ∀G1,L1,T1. Q G1 L1 T1.
-#b #Q #HQ @(f3_ind … fw) #x #IHx #G1 #L1 #T1 #H destruct /4 width=2 by fqu_fwd_fw/
-qed-.