(* Main properties **********************************************************)
theorem ntas_trans (h) (a) (G) (L) (T0):
- â\88\80n1,T1. â¦\83G,Lâ¦\84 ⊢ T1 :*[h,a,n1] T0 →
- â\88\80n2,T2. â¦\83G,Lâ¦\84 â\8a¢ T0 :*[h,a,n2] T2 â\86\92 â¦\83G,Lâ¦\84 ⊢ T1 :*[h,a,n1+n2] T2.
+ â\88\80n1,T1. â\9dªG,Lâ\9d« ⊢ T1 :*[h,a,n1] T0 →
+ â\88\80n2,T2. â\9dªG,Lâ\9d« â\8a¢ T0 :*[h,a,n2] T2 â\86\92 â\9dªG,Lâ\9d« ⊢ T1 :*[h,a,n1+n2] T2.
#h #a #G #L #T0 #n1 #T1 * #X1 #HT0 #HT1 #H01 #H11 #n2 #T2 * #X2 #HT2 #_ #H22 #H02
elim (cnv_cpms_conf … HT0 … H01 … H02) -T0 <minus_O_n <minus_n_O #X0 #H10 #H20
/3 width=5 by ntas_intro, cpms_trans/