integrating the framework with fle ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / fle_fqup.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/fle_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/static/fle_fqup.ma
index c6d61ed9113e1b51f09881d16543d2d778af3c21..b50fa075d0df92a3e145acc335fa36f88b8226d4 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/static/fle_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/fle_fqup.ma
@@ -82,3 +82,15 @@ elim (sor_isfin_ex g1 g2) /2 width=3 by frees_fwd_isfin/ #g #Hg #_
 @(ex4_4_intro … g Hf2 … HL12) (**) (* full auto too slow *)
 /4 width=5 by frees_flat, sor_inv_sle_dx, sor_tls, sle_trans/
 qed.
+
+(* Advanced forward lemmas ***************************************************)
+
+lemma fle_fwd_pair_sn: ∀I1,I2,L1,L2,V1,V2,T1,T2. ⦃L1.ⓑ{I1}V1, T1⦄ ⊆ ⦃L2.ⓑ{I2}V2, T2⦄ →
+                       ⦃L1.ⓧ, T1⦄ ⊆ ⦃L2.ⓑ{I2}V2, T2⦄.
+#I1 #I2 #L1 #L2 #V1 #V2 #T1 #T2 *
+#n1 #n2 #f1 #f2 #Hf1 #Hf2 #HL12 #Hf12
+elim (lveq_inv_pair_pair … HL12) -HL12 #HL12 #H1 #H2 destruct
+elim (frees_total (L1.ⓧ) T1) #g1 #Hg1
+lapply (lsubr_lsubf … Hg1 … Hf1) -Hf1 /2 width=1 by lsubr_unit/ #Hfg1
+/5 width=10 by lsubf_fwd_sle, lveq_bind, sle_trans, ex4_4_intro/ (**) (* full auto too slow *)
+qed-.