update in ground_2 and basic_2 ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_fpbs.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_fpbs.ma
index 6a868cfa96548543a1ed1d2f429c7240a55eadb6..620bbe4f707247435a3da025cfdb80c50d3c3b08 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_fpbs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_fpbs.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/fpbs_lift.ma".
+include "basic_2/computation/fpbs.ma".
 
 (* "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *****************************)
 
@@ -20,23 +20,3 @@ include "basic_2/computation/fpbs_lift.ma".
 
 theorem fpbs_trans: ∀h,g. tri_transitive … (fpbs h g).
 /2 width=5 by tri_TC_transitive/ qed-.
-
-(* Advanced properties ******************************************************)
-
-lemma cpr_lpr_ssta_fpbs: ∀h,g,G,L1,L2,T1,T2,U2,l2.
-                         ⦃G, L1⦄ ⊢ T1 ➡ T2 → ⦃G, L1⦄ ⊢ ➡ L2 →
-                         ⦃G, L2⦄ ⊢ T2 ▪[h, g] l2+1 → ⦃G, L2⦄ ⊢ T2 •[h, g] U2 →
-                         ⦃G, L1, T1⦄ ≥[h, g] ⦃G, L2, U2⦄.
-/3 width=5 by fpbs_trans, cpr_lpr_fpbs, ssta_fpbs/ qed.
-
-lemma cpxs_fqup_fpbs: ∀h,g,G1,G2,L1,L2,T1,T,T2. ⦃G1, L1⦄ ⊢ T1 ➡*[h, g] T →
-                      ⦃G1, L1, T⦄ ⊃+ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
-/3 width=5 by fpbs_trans, cpxs_fpbs, fqup_fpbs/ qed.
-
-lemma cpxs_fqus_fpbs: ∀h,g,G1,G2,L1,L2,T1,T,T2. ⦃G1, L1⦄ ⊢ T1 ➡*[h, g] T →
-                      ⦃G1, L1, T⦄ ⊃* ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
-/3 width=5 by fpbs_trans, cpxs_fpbs, fqus_fpbs/ qed.
-
-lemma cpxs_fqus_lpxs_fpbs: ∀h,g,G1,G2,L1,L,L2,T1,T,T2. ⦃G1, L1⦄ ⊢ T1 ➡*[h, g] T →
-                           ⦃G1, L1, T⦄ ⊃* ⦃G2, L, T2⦄ → ⦃G2, L⦄ ⊢ ➡*[h, g] L2 → ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
-/3 width=5 by fpbs_trans, cpxs_fqus_fpbs, lpxs_fpbs/ qed.