include "basic_2/rt_transition/cpg_simple.ma".
include "basic_2/rt_transition/cpx.ma".
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS *****************)
+(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *************)
-lemma cpx_inv_appl1_simple: â\88\80h,G,L,V1,T1,U. â¦\83G, Lâ¦\84 â\8a¢ â\93\90V1.T1 â\9e¡[h] U → 𝐒⦃T1⦄ →
- â\88\83â\88\83V2,T2. â¦\83G, Lâ¦\84 â\8a¢ V1 â\9e¡[h] V2 & â¦\83G, Lâ¦\84 â\8a¢ T1 â\9e¡[h] T2 &
+lemma cpx_inv_appl1_simple: â\88\80h,G,L,V1,T1,U. â¦\83G, Lâ¦\84 â\8a¢ â\93\90V1.T1 â¬\88[h] U → 𝐒⦃T1⦄ →
+ â\88\83â\88\83V2,T2. â¦\83G, Lâ¦\84 â\8a¢ V1 â¬\88[h] V2 & â¦\83G, Lâ¦\84 â\8a¢ T1 â¬\88[h] T2 &
U = ⓐV2.T2.
#h #G #L #V1 #T1 #U * #c #H #HT1 elim (cpg_inv_appl1_simple … H) -H
/3 width=5 by ex3_2_intro, ex_intro/