+++ /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/fpa_fpa.ma".
-include "basic_2/multiple/fpas.ma".
-
-(* MULTIPLE AJUSTMENT *******************************************************)
-
-(* Advanced properties ******************************************************)
-
-lemma fpas_strip: ∀L0,L1,L2,T0,T1,T2,s. ⦃L0, T0⦄ ⇳[s] ⦃L1, T1⦄ → ⦃L0, T0⦄ ⇳*[s] ⦃L2, T2⦄ →
- ∃∃L,T. ⦃L1, T1⦄ ⇳*[s] ⦃L, T⦄ & ⦃L2, T2⦄ ⇳[s] ⦃L, T⦄.
-/3 width=4 by fpa_conf, bi_TC_strip/ qed-.
-
-(* Main properties **********************************************************)
-
-theorem fpas_conf: ∀s. bi_confluent … (fpas s).
-/3 width=4 by fpa_conf, bi_TC_confluent/ qed-.
-
-theorem fpas_trans: ∀s. bi_transitive … (fpas s).
-/2 width=4 by bi_TC_transitive/ qed-.
-
-theorem fpas_canc_sn: ∀L,L1,L2,T,T1,T2,s.
- ⦃L, T⦄ ⇳*[s] ⦃L1, T1⦄→ ⦃L, T⦄ ⇳*[s] ⦃L2, T2⦄ → ⦃L1, T1⦄ ⇳*[s] ⦃L2, T2⦄.
-/3 width=4 by fpas_trans, fpas_sym/ qed-.
-
-theorem fpas_canc_dx: ∀L1,L2,L,T1,T2,T,s.
- ⦃L1, T1⦄ ⇳*[s] ⦃L, T⦄ → ⦃L2, T2⦄ ⇳*[s] ⦃L, T⦄ → ⦃L1, T1⦄ ⇳*[s] ⦃L2, T2⦄.
-/3 width=4 by fpas_trans, fpas_sym/ qed-.