- commit of the "s_computation" component ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / csx_fpbs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_fpbs.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_fpbs.ma
index 7d88827934ccd97128876985bc1781c2fb4ec047..c756c4ab81e8adb75c726889b6717d709f6c020c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/csx_fpbs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/csx_fpbs.ma
@@ -13,25 +13,21 @@
 (**************************************************************************)
 
 include "basic_2/computation/fpbs.ma".
+include "basic_2/computation/csx_lleq.ma".
 include "basic_2/computation/csx_lpx.ma".
 
 (* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
 
 (* Advanced properties ******************************************************)
 
-lemma csx_fpb_conf: ∀h,g,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, g] T1 →
-                    ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≽[h, g] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬊*[h, g] T2.
-#h #g #G1 #L1 #T1 #HT1 #G2 #L2 #T2 *
-/2 width=5 by csx_cpx_trans, csx_fquq_conf, csx_lpx_conf/
+lemma csx_fpb_conf: ∀h,o,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, o] T1 →
+                    ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≽[h, o] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬊*[h, o] T2.
+#h #o #G1 #L1 #T1 #HT1 #G2 #L2 #T2 *
+/2 width=5 by csx_cpx_trans, csx_fquq_conf, csx_lpx_conf, csx_lleq_conf/
 qed-.
 
-lemma csx_fpbs_conf: ∀h,g,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, g] T1 →
-                     ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬊*[h, g] T2.
-#h #g #G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
+lemma csx_fpbs_conf: ∀h,o,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬊*[h, o] T1 →
+                     ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬊*[h, o] T2.
+#h #o #G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
 /2 width=5 by csx_fpb_conf/
 qed-.
-
-lemma csx_lpxs_conf: ∀h,g,G,L1. ∀T:term. ⦃G, L1⦄ ⊢ ⬊*[h, g] T →
-                     ∀L2. ⦃G, L1⦄ ⊢ ➡*[h, g] L2 → ⦃G, L2⦄ ⊢ ⬊*[h, g] T.
-/3 width=5 by csx_fpbs_conf, lpxs_fpbs/
-qed-.