universary milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_lift.ma
index 4ea86975a9ae6743c0ca7d6fe657e45e6753dc3c..69f1a77fa4b0ddc8949976ec336f2e4ccf8970f2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_lift.ma
@@ -12,7 +12,6 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/reduction/fpb_lift.ma".
 include "basic_2/computation/cpxs_lift.ma".
 include "basic_2/computation/fpbs.ma".
 
@@ -20,18 +19,18 @@ include "basic_2/computation/fpbs.ma".
 
 (* Advanced properties ******************************************************)
 
-lemma lstas_fpbs: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, l2] T2 →
-                  ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ ≥[h, g] ⦃G, L, T2⦄.
+lemma lstas_fpbs: ∀h,o,G,L,T1,T2,d2. ⦃G, L⦄ ⊢ T1 •*[h, d2] T2 →
+                  ∀d1. d2 ≤ d1 → ⦃G, L⦄ ⊢ T1 ▪[h, o] d1 → ⦃G, L, T1⦄ ≥[h, o] ⦃G, L, T2⦄.
 /3 width=5 by cpxs_fpbs, lstas_cpxs/ qed.
 
-lemma sta_fpbs: ∀h,g,G,L,T,U,l.
-                ⦃G, L⦄ ⊢ T ▪[h, g] l+1 → ⦃G, L⦄ ⊢ T •*[h, 1] U →
-                ⦃G, L, T⦄ ≥[h, g] ⦃G, L, U⦄.
-/4 width=2 by fpb_fpbs, sta_fpb/ qed.
+lemma sta_fpbs: ∀h,o,G,L,T,U,d.
+                ⦃G, L⦄ ⊢ T ▪[h, o] d+1 → ⦃G, L⦄ ⊢ T •*[h, 1] U →
+                ⦃G, L, T⦄ ≥[h, o] ⦃G, L, U⦄.
+/2 width=5 by lstas_fpbs/ qed.
 
 (* Note: this is used in the closure proof *)
-lemma cpr_lpr_sta_fpbs: ∀h,g,G,L1,L2,T1,T2,U2,l2.
+lemma cpr_lpr_sta_fpbs: ∀h,o,G,L1,L2,T1,T2,U2,d2.
                         ⦃G, L1⦄ ⊢ T1 ➡ T2 → ⦃G, L1⦄ ⊢ ➡ L2 →
-                        ⦃G, L2⦄ ⊢ T2 ▪[h, g] l2+1 → ⦃G, L2⦄ ⊢ T2 •*[h, 1] U2 →
-                        ⦃G, L1, T1⦄ ≥[h, g] ⦃G, L2, U2⦄.
-/4 width=5 by fpbs_strap1, cpr_lpr_fpbs, sta_cpx, fpb_cpx/ qed.
+                        ⦃G, L2⦄ ⊢ T2 ▪[h, o] d2+1 → ⦃G, L2⦄ ⊢ T2 •*[h, 1] U2 →
+                        ⦃G, L1, T1⦄ ≥[h, o] ⦃G, L2, U2⦄.
+/4 width=5 by fpbs_strap1, cpr_lpr_fpbs, sta_cpx, fpbq_cpx/ qed.