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milestone in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_cnx.ma
index 8f9268fabdebc14beb748b0408f85540bfecff4d..eaaaa9aa2927497355f20b8a0bf893da05de7489 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-(* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
+(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
 
 include "basic_2/rt_transition/cnx.ma".
 include "basic_2/rt_computation/csx.ma".
 
-(* Properties with normal terms for uncounted parallel rt-transition ********)
+(* Properties with normal terms for unbound parallel rt-transition **********)
 
 (* Basic_1: was just: sn3_nf2 *)
-lemma cnx_csx: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
+lemma cnx_csx: ∀h,G,L,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
 /2 width=1 by NF_to_SN/ qed.
+
+(* Advanced properties ******************************************************)
+
+lemma csx_sort: ∀h,G,L,s. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃⋆s⦄.
+/3 width=4 by cnx_csx, cnx_sort/ qed.