]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
syntactic components detached from basic_2 become static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpg_simple.ma
index 5dcf8ece0ffdff50a57f4da0c31bd06595481478..39228c24717bbe8b05d5d32ac0d0274b01d9c8e8 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/grammar/term_simple.ma".
+include "static_2/syntax/term_simple.ma".
 include "basic_2/rt_transition/cpg.ma".
 
-(* COUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+(* BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *****************)
 
 (* Properties with simple terms *********************************************)
 
 (* Note: the main property of simple terms *)
-lemma cpg_inv_appl1_simple: ∀c,h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡[c, h] U → 𝐒⦃T1⦄ →
-                            â\88\83â\88\83cV,cT,V2,T2. â¦\83G, Lâ¦\84 â\8a¢ V1 â\9e¡[cV, h] V2 & â¦\83G, Lâ¦\84 â\8a¢ T1 â\9e¡[cT, h] T2 &
-                                           U = ⓐV2.T2 & c = (↓cV)+cT.
-#c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H *
+lemma cpg_inv_appl1_simple: ∀Rt,c,h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ⬈[Rt, c, h] U → 𝐒⦃T1⦄ →
+                            â\88\83â\88\83cV,cT,V2,T2. â¦\83G, Lâ¦\84 â\8a¢ V1 â¬\88[Rt, cV, h] V2 & â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[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)