update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / yprs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/yprs.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/yprs.ma
index bb4daf0be081cb16cd1b576a2eb81835b32331e2..08461cda5d6d5e878afde43b1e3b8b78b35bded1 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/yprs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/yprs.ma
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/substitution/fsupp.ma".
 include "basic_2/computation/lprs.ma".
 include "basic_2/dynamic/ypr.ma".
 
@@ -52,9 +53,11 @@ lemma yprs_strap2: ∀h,g,L1,L,L2,T1,T,T2. h ⊢ ⦃L1, T1⦄ ≽[g] ⦃L, T⦄
                    h ⊢ ⦃L, T⦄ ≥[g] ⦃L2, T2⦄ → h ⊢ ⦃L1, T1⦄ ≥[g] ⦃L2, T2⦄.
 /2 width=4/ qed-.
 
-lemma fw_yprs: ∀h,g,L1,L2,T1,T2. ♯{L2, T2} < ♯{L1, T1} →
-               h ⊢ ⦃L1, T1⦄ ≥[g] ⦃L2, T2⦄.
-/3 width=1/ qed.
+(* Note: this is a general property of bi_TC *)
+lemma fsupp_yprs: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃+ ⦃L2, T2⦄ →
+                  h ⊢ ⦃L1, T1⦄ ≥[g] ⦃L2, T2⦄.
+#h #g #L1 #L2 #T1 #T2 #H @(fsupp_ind … L2 T2 H) -L2 -T2 /3 width=1/ /3 width=4/
+qed.
 
 lemma cprs_yprs: ∀h,g,L,T1,T2. L ⊢ T1 ➡* T2 → h ⊢ ⦃L, T1⦄ ≥[g] ⦃L, T2⦄.
 #h #g #L #T1 #T2 #H @(cprs_ind … H) -T2 // /3 width=4 by ypr_cpr, yprs_strap1/
@@ -72,7 +75,7 @@ qed.
 lemma lsubsv_yprs: ∀h,g,L1,L2,T. h ⊢ L2 ¡⊑[g] L1 → h ⊢ ⦃L1, T⦄ ≥[g] ⦃L2, T⦄.
 /3 width=1/ qed.
 
-lemma lpr_cprs_yprs: ∀h,g,L1,L2,T1,T2. L1 ⊢ ➡ L2 → L2 ⊢ T1 ➡* T2 →
+lemma cprs_lpr_yprs: ∀h,g,L1,L2,T1,T2. L1 ⊢ T1 ➡* T2 → L1 ⊢ ➡ L2 →
                      h ⊢ ⦃L1, T1⦄ ≥[g] ⦃L2, T2⦄.
-/3 width=4 by yprs_strap2, ypr_lpr, cprs_yprs/
+/3 width=4 by yprs_strap1, ypr_lpr, cprs_yprs/
 qed.