X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Flfpx_fqup.ma;h=c4963ad997b1e6a40fd78b7fe60f1673fb9dfe2a;hb=397413c4196f84c81d61ba7dd79b54ab1c428ebb;hp=99e668266e2c4a12bbc63991427918879a89bff6;hpb=4a3e161726553a41fe68b22f111de3b8df1a9fb6;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fqup.ma
index 99e668266..c4963ad99 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fqup.ma
@@ -19,5 +19,23 @@ include "basic_2/rt_transition/lfpx.ma".
 
 (* Advanced properties ******************************************************)
 
+(* Basic_2A1: uses: lpx_refl *)
 lemma lfpx_refl: ∀h,G,T. reflexive … (lfpx h G T).
 /2 width=1 by lfxs_refl/ qed.
+
+(* Basic_2A1: uses: lpx_pair *)
+lemma lfpx_pair_refl: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
+                      ∀I,T. ⦃G, L.ⓑ{I}V1⦄ ⊢ ⬈[h, T] L.ⓑ{I}V2.
+/2 width=1 by lfxs_pair_refl/ qed.
+
+(* Advanced inversion lemmas ************************************************)
+
+lemma lfpx_inv_bind_void: ∀h,p,I,G,L1,L2,V,T. ⦃G, L1⦄ ⊢ ⬈[h, ⓑ{p,I}V.T] L2 →
+                          ∧∧ ⦃G, L1⦄ ⊢ ⬈[h, V] L2 & ⦃G, L1.ⓧ⦄ ⊢ ⬈[h, T] L2.ⓧ.
+/2 width=3 by lfxs_inv_bind_void/ qed-.
+
+(* Advanced forward lemmas **************************************************)
+
+lemma lfpx_fwd_bind_dx_void: ∀h,p,I,G,L1,L2,V,T.
+                             ⦃G, L1⦄ ⊢ ⬈[h, ⓑ{p,I}V.T] L2 → ⦃G, L1.ⓧ⦄ ⊢ ⬈[h, T] L2.ⓧ.
+/2 width=4 by lfxs_fwd_bind_dx_void/ qed-.