renaming in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / fpbs_lpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_lpxs.ma
index 26df6e4801b68ee1449b592627687a2b42f90623..3a67b6f4969b0c0a2c1aca437923bda81b4f30c0 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_lpxs.ma
@@ -12,11 +12,11 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/ffdeq_fqus.ma".
-include "basic_2/static/ffdeq_ffdeq.ma".
+include "basic_2/static/fdeq_fqus.ma".
+include "basic_2/static/fdeq_fdeq.ma".
 include "basic_2/rt_computation/cpxs_fqus.ma".
-include "basic_2/rt_computation/cpxs_ffdeq.ma".
-include "basic_2/rt_computation/lpxs_ffdeq.ma".
+include "basic_2/rt_computation/cpxs_fdeq.ma".
+include "basic_2/rt_computation/lpxs_fdeq.ma".
 include "basic_2/rt_computation/fpbs_cpxs.ma".
 
 (* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
@@ -41,9 +41,9 @@ lemma lpxs_fpbs_trans: ∀h,o,G1,G2,L,L2,T1,T2. ⦃G1, L, T1⦄ ≥[h, o] ⦃G2,
 qed-.
 
 (* Basic_2A1: uses: lpxs_lleq_fpbs *)
-lemma lpxs_ffdeq_fpbs: ∀h,o,G1,L1,L,T1. ⦃G1, L1⦄ ⊢ ⬈*[h] L →
-                       ∀G2,L2,T2. ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄.
-/3 width=3 by lpxs_fpbs_trans, ffdeq_fpbs/ qed.
+lemma lpxs_fdeq_fpbs: ∀h,o,G1,L1,L,T1. ⦃G1, L1⦄ ⊢ ⬈*[h] L →
+                      ∀G2,L2,T2. ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄.
+/3 width=3 by lpxs_fpbs_trans, fdeq_fpbs/ qed.
 
 lemma fpbs_lpx_trans: ∀h,o,G1,G2,L1,L,T1,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L, T2⦄ →
                       ∀L2. ⦃G2, L⦄ ⊢ ⬈[h] L2 → ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄.
@@ -79,7 +79,7 @@ lemma fpbs_intro_star: ∀h,o,G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ⬈*[h] T →
                        ∀G,L,T0. ⦃G1, L1, T⦄ ⊐* ⦃G, L, T0⦄ →
                        ∀L0. ⦃G, L⦄ ⊢ ⬈*[h] L0 →
                        ∀G2,L2,T2. ⦃G, L0, T0⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2, L2, T2⦄ .
-/3 width=5 by cpxs_fqus_lpxs_fpbs, fpbs_strap1, fpbq_ffdeq/ qed.
+/3 width=5 by cpxs_fqus_lpxs_fpbs, fpbs_strap1, fpbq_fdeq/ qed.
 
 (* Advanced inversion lemmas *************************************************)
 
@@ -100,10 +100,10 @@ lemma fpbs_inv_star: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≥[h, o] ⦃G2,
     elim (lpx_fqus_trans … H34 … HL10) -L0
     /3 width=9 by lpxs_step_sn, cpxs_trans, ex4_5_intro/
   | #G0 #L0 #T0 #H10 #_ * #G3 #L3 #L4 #T3 #T4 #HT03 #H34 #HL34 #H42
-    elim (ffdeq_cpxs_trans … H10 … HT03) -T0 #T0 #HT10 #H03
-    elim (ffdeq_fqus_trans … H03 … H34) -G0 -L0 -T3 #G0 #L0 #T3 #H03 #H34
-    elim (ffdeq_lpxs_trans … H34 … HL34) -L3 #L3 #HL03 #H34
-    /3 width=13 by ffdeq_trans, ex4_5_intro/
+    elim (fdeq_cpxs_trans … H10 … HT03) -T0 #T0 #HT10 #H03
+    elim (fdeq_fqus_trans … H03 … H34) -G0 -L0 -T3 #G0 #L0 #T3 #H03 #H34
+    elim (fdeq_lpxs_trans … H34 … HL34) -L3 #L3 #HL03 #H34
+    /3 width=13 by fdeq_trans, ex4_5_intro/
   ]
 ]
 qed-.