renaming

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpx_fqup.ma

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 f7d15c1d29a7d5c95cfca21332674aee853402ab..c3de116d039746e0dbde7cfeddefb3b4a560a973 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_fqup.ma
@@ -15,13 +15,25 @@
 include "basic_2/static/lfxs_fqup.ma".
 include "basic_2/rt_transition/lfpx.ma".
 
-(* UNCOUNTED PARALLEL RT-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES *****)
+(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
 
 (* Advanced properties ******************************************************)
 
 lemma lfpx_refl: ∀h,G,T. reflexive … (lfpx h G T).
 /2 width=1 by lfxs_refl/ qed.
 
-lemma lfpx_pair: ∀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/ qed.
+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-.