+++ /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/unfold/tpss_lift.ma".
-include "Basic-2/reduction/tpr_lift.ma".
-include "Basic-2/reduction/cpr.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
-
-(* Advanced properties ******************************************************)
-
-lemma cpr_delta: ∀L,K,V1,W1,W2,i.
- ↓[0, i] L ≡ K. 𝕓{Abbr} V1 → K ⊢ V1 [0, |L| - i - 1] ≫* W1 →
- ↑[0, i + 1] W1 ≡ W2 → L ⊢ #i ⇒ W2.
-#L #K #V1 #W1 #W2 #i #HLK #HVW1 #HW12
-@ex2_1_intro [2: // | skip | @tpss_subst /2 width=6/ ] (**) (* /4 width=6/ is too slow *)
-qed.
-
-(* Advanced inversion lemmas ************************************************)
-
-(* Basic-1: was: pr2_gen_lref *)
-lemma cpr_inv_lref1: ∀L,T2,i. L ⊢ #i ⇒ T2 →
- T2 = #i ∨
- ∃∃K,V1,T1. ↓[0, i] L ≡ K. 𝕓{Abbr} V1 &
- K ⊢ V1 [0, |L| - i - 1] ≫* T1 &
- ↑[0, i + 1] T1 ≡ T2 &
- i < |L|.
-#L #T2 #i * #X #H
->(tpr_inv_atom1 … H) -H #H
-elim (tpss_inv_lref1 … H) -H /2/
-* /3 width=6/
-qed.
-
-(* Basic-1: was: pr2_gen_abst *)
-lemma cpr_inv_abst1: ∀V1,T1,U2. 𝕔{Abst} V1. T1 ⇒ U2 →
- ∃∃V2,T2. V1 ⇒ V2 & T1 ⇒ T2 & U2 = 𝕔{Abst} V2. T2.
-/2/ qed.
-
-(* Relocation properties ****************************************************)
-
-(* Basic-1: was: pr2_lift *)
-
-(* Basic-1: was: pr2_gen_lift *)
-