syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpg_simple.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
index 61ade3e0de530d838c95f31d4334c033ede443e0..39228c24717bbe8b05d5d32ac0d0274b01d9c8e8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
@@ -12,23 +12,22 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/relocation/drops.ma".
+include "static_2/syntax/term_simple.ma".
 include "basic_2/rt_transition/cpg.ma".
 
-(* CONTEXT-SENSITIVE GENERIC PARALLEL RT-TRANSITION FOR TERMS ***************)
+(* BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *****************)
 
-(* Properties with generic slicing for local environments *******************)
+(* Properties with simple terms *********************************************)
 
 (* Note: the main property of simple terms *)
-lemma cpg_inv_appl1_simple: ∀h,r,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡[h, r] U → 𝐒⦃T1⦄ →
-                            ∃∃V2,T2. ⦃G, L⦄ ⊢ V1 ➡[h, r] V2 & ⦃G, L⦄ ⊢ T1 ➡[h, r] T2 &
-                                     U = ⓐV2.T2.
-#h #r #G #L #V1 #T1 #U #H #HT1
-elim (cpg_inv_appl1 … H) -H *
-[ /2 width=5 by ex3_2_intro/
-| #a #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #H #_ destruct
+lemma cpg_inv_appl1_simple: ∀Rt,c,h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ⬈[Rt, c, h] U → 𝐒⦃T1⦄ →
+                            ∃∃cV,cT,V2,T2. ⦃G, L⦄ ⊢ V1 ⬈[Rt, cV, h] V2 & ⦃G, L⦄ ⊢ T1 ⬈[Rt, cT, h] T2 &
+                                           U = ⓐV2.T2 & c = ((↕*cV)∨cT).
+#Rt #c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H *
+[ /2 width=8 by ex4_4_intro/
+| #cV #cW #cT #p #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #H destruct
   elim (simple_inv_bind … HT1)
-| #a #V #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #_ #H #_ destruct
+| #cV #cW #cT #p #V #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #_ #H destruct
   elim (simple_inv_bind … HT1)
 ]
 qed-.