]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma
update in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / fpbs_cpxs.ma
index 8500d2ddd8405f4a3ee566234ddd3bbe2225cd86..9269fd393349071d84286ddefb61193cbb5a0d7a 100644 (file)
@@ -12,7 +12,6 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/ffdeq_fqup.ma".
 include "basic_2/rt_computation/cpxs.ma".
 include "basic_2/rt_computation/fpbs_fqup.ma".
 
@@ -37,6 +36,11 @@ lemma cpxs_fpbs_trans: ∀h,o,G1,G2,L1,L2,T,T2. ⦃G1, L1, T⦄ ≥[h, o] ⦃G2,
 /3 width=5 by fpbs_strap2, fpbq_cpx/
 qed-.
 
+lemma cpxs_tdeq_fpbs_trans: ∀h,o,G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ⬈*[h] T →
+                            ∀T0. T ≛[h, o] T0 →
+                            ∀G2,L2,T2. ⦃G1, L1, T0⦄ ≥[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄.
+/3 width=3 by cpxs_fpbs_trans, tdeq_fpbs_trans/ qed-.
+
 lemma cpxs_tdeq_fpbs: ∀h,o,G,L,T1,T. ⦃G, L⦄ ⊢ T1 ⬈*[h] T →
                       ∀T2. T ≛[h, o] T2 → ⦃G, L, T1⦄ ≥[h, o] ⦃G, L, T2⦄.
 /4 width=3 by cpxs_fpbs_trans, ffdeq_fpbs, tdeq_ffdeq/ qed.